diff --git a/arrow-flight/Cargo.toml b/arrow-flight/Cargo.toml
index 04a1a937d082..941cc2bdbd53 100644
--- a/arrow-flight/Cargo.toml
+++ b/arrow-flight/Cargo.toml
@@ -39,7 +39,7 @@ futures = { version = "0.3", default-features = false, features = ["alloc"]}
 tonic-build = "0.4"
 # Pin specific version of the tonic-build dependencies to avoid auto-generated
 # (and checked in) arrow.flight.protocol.rs from changing
-proc-macro2 = "=1.0.24"
+proc-macro2 = "=1.0.27"
 
 #[lib]
 #name = "flight"
diff --git a/arrow-pyarrow-integration-testing/Cargo.toml b/arrow-pyarrow-integration-testing/Cargo.toml
index 34d243591724..55bbd77c8ab0 100644
--- a/arrow-pyarrow-integration-testing/Cargo.toml
+++ b/arrow-pyarrow-integration-testing/Cargo.toml
@@ -31,6 +31,8 @@ name = "arrow_pyarrow_integration_testing"
 crate-type = ["cdylib"]
 
 [dependencies]
+# ensure we get the std version of rand so arrow builds without default features
+rand = { version = "0.8" }
 arrow = { path = "../arrow", version = "5.0.0-SNAPSHOT" }
 pyo3 = { version = "0.12.1", features = ["extension-module"] }
 
diff --git a/arrow/Cargo.toml b/arrow/Cargo.toml
index 9875262c31bc..5a14f1f0fafb 100644
--- a/arrow/Cargo.toml
+++ b/arrow/Cargo.toml
@@ -40,7 +40,10 @@ serde = { version = "1.0", features = ["rc"] }
 serde_derive = "1.0"
 serde_json = { version = "1.0", features = ["preserve_order"] }
 indexmap = "1.6"
-rand = "0.7"
+rand = { version = "0.8", default-features = false }
+# getrandom is a dependency of rand, not (directly) of arrow
+# need to specify `js` feature to build on wasm
+getrandom = { version = "0.2", features = ["js"] }
 num = "0.4"
 csv_crate = { version = "1.1", optional = true, package="csv" }
 regex = "1.3"
diff --git a/arrow/benches/mutable_array.rs b/arrow/benches/mutable_array.rs
index 52da38a1d543..3a42ec1be3c3 100644
--- a/arrow/benches/mutable_array.rs
+++ b/arrow/benches/mutable_array.rs
@@ -31,8 +31,8 @@ fn create_slices(size: usize) -> Vec<(usize, usize)> {
 
     (0..size)
         .map(|_| {
-            let start = rng.gen_range(0, size / 2);
-            let end = rng.gen_range(start + 1, size);
+            let start = rng.gen_range(0..size / 2);
+            let end = rng.gen_range(start + 1..size);
             (start, end)
         })
         .collect()
diff --git a/arrow/benches/take_kernels.rs b/arrow/benches/take_kernels.rs
index b1d03d70c9a7..5de198b3f5ae 100644
--- a/arrow/benches/take_kernels.rs
+++ b/arrow/benches/take_kernels.rs
@@ -35,7 +35,7 @@ fn create_random_index(size: usize, null_density: f32) -> UInt32Array {
         if rng.gen::<f32>() < null_density {
             builder.append_null().unwrap()
         } else {
-            let value = rng.gen_range::<u32, _, _>(0u32, size as u32);
+            let value = rng.gen_range::<u32, _>(0u32..size as u32);
             builder.append_value(value).unwrap();
         }
     }
diff --git a/arrow/src/util/bench_util.rs b/arrow/src/util/bench_util.rs
index fd0ece830a16..40340336882b 100644
--- a/arrow/src/util/bench_util.rs
+++ b/arrow/src/util/bench_util.rs
@@ -102,7 +102,8 @@ pub fn create_string_array<Offset: StringOffsetSizeTrait>(
             if rng.gen::<f32>() < null_density {
                 None
             } else {
-                let value = rng.sample_iter(&Alphanumeric).take(4).collect::<String>();
+                let value = rng.sample_iter(&Alphanumeric).take(4).collect();
+                let value = String::from_utf8(value).unwrap();
                 Some(value)
             }
         })
@@ -124,7 +125,7 @@ pub fn create_binary_array<Offset: BinaryOffsetSizeTrait>(
             } else {
                 let value = rng
                     .sample_iter::<u8, _>(Standard)
-                    .take(range_rng.gen_range(0, 8))
+                    .take(range_rng.gen_range(0..8))
                     .collect::<Vec<u8>>();
                 Some(value)
             }
diff --git a/arrow/src/util/bit_util.rs b/arrow/src/util/bit_util.rs
index c11e10081243..d046f781f053 100644
--- a/arrow/src/util/bit_util.rs
+++ b/arrow/src/util/bit_util.rs
@@ -271,7 +271,7 @@ mod tests {
         let mut v = HashSet::new();
         let mut rng = seedable_rng();
         for _ in 0..NUM_SETS {
-            let offset = rng.gen_range(0, 8 * NUM_BYTES);
+            let offset = rng.gen_range(0..8 * NUM_BYTES);
             v.insert(offset);
             set_bit(&mut buffer[..], offset);
         }
diff --git a/arrow/src/util/data_gen.rs b/arrow/src/util/data_gen.rs
index cd1f25efea06..08624ae86ee8 100644
--- a/arrow/src/util/data_gen.rs
+++ b/arrow/src/util/data_gen.rs
@@ -218,7 +218,7 @@ fn create_random_offsets<T: OffsetSizeTrait + SampleUniform>(
     offsets.push(current_offset);
 
     (0..size).for_each(|_| {
-        current_offset += rng.gen_range(min, max);
+        current_offset += rng.gen_range(min..max);
         offsets.push(current_offset);
     });
 
diff --git a/arrow/src/util/test_util.rs b/arrow/src/util/test_util.rs
index 261b2456dc6d..4b193f774178 100644
--- a/arrow/src/util/test_util.rs
+++ b/arrow/src/util/test_util.rs
@@ -25,7 +25,7 @@ pub fn random_bytes(n: usize) -> Vec<u8> {
     let mut result = vec![];
     let mut rng = seedable_rng();
     for _ in 0..n {
-        result.push(rng.gen_range(0, 255));
+        result.push(rng.gen_range(0..255));
     }
     result
 }
diff --git a/parquet/Cargo.toml b/parquet/Cargo.toml
index d66ee237eeca..120b81d1a3f8 100644
--- a/parquet/Cargo.toml
+++ b/parquet/Cargo.toml
@@ -38,7 +38,7 @@ snap = { version = "1.0", optional = true }
 brotli = { version = "3.3", optional = true }
 flate2 = { version = "1.0", optional = true }
 lz4 = { version = "1.23", optional = true }
-zstd = { version = "0.8", optional = true }
+zstd = { version = "0.9", optional = true }
 chrono = "0.4"
 num-bigint = "0.4"
 arrow = { path = "../arrow", version = "5.0.0-SNAPSHOT", optional = true }
@@ -54,7 +54,6 @@ snap = "1.0"
 brotli = "3.3"
 flate2 = "1.0"
 lz4 = "1.23"
-zstd = "0.8"
 arrow = { path = "../arrow", version = "5.0.0-SNAPSHOT" }
 serde_json = { version = "1.0", features = ["preserve_order"] }