diff --git a/Lib/hashlib.py b/Lib/hashlib.py
index 0e9bd98aa1fc31..6d4f84a5a6e9ff 100644
--- a/Lib/hashlib.py
+++ b/Lib/hashlib.py
@@ -2,7 +2,7 @@
 #  Licensed to PSF under a Contributor Agreement.
 #
 
-__doc__ = """hashlib module - A common interface to many hash functions.
+__doc__ = r"""hashlib module - A common interface to many hash functions.
 
 new(name, data=b'', **kwargs) - returns a new hash object implementing the
                                 given hash function; initializing the hash
@@ -12,7 +12,7 @@
 than using new(name):
 
 md5(), sha1(), sha224(), sha256(), sha384(), sha512(), blake2b(), blake2s(),
-sha3_224, sha3_256, sha3_384, sha3_512, shake_128, and shake_256.
+sha3_224(), sha3_256(), sha3_384(), sha3_512(), shake_128(), and shake_256().
 
 More algorithms may be available on your platform but the above are guaranteed
 to exist.  See the algorithms_guaranteed and algorithms_available attributes
@@ -21,8 +21,8 @@
 NOTE: If you want the adler32 or crc32 hash functions they are available in
 the zlib module.
 
-Choose your hash function wisely.  Some have known collision weaknesses.
-sha384 and sha512 will be slow on 32 bit platforms.
+Choose your hash function wisely.  Some have known collision weaknesses,
+while others may be slower depending on the CPU architecture.
 
 Hash objects have these methods:
  - update(data): Update the hash object with the bytes in data. Repeated calls
@@ -36,20 +36,20 @@
                  efficiently compute the digests of data that share a common
                  initial substring.
 
-For example, to obtain the digest of the byte string 'Nobody inspects the
-spammish repetition':
+Assuming that Python has been built with MD5 support, the following computes
+the MD5 digest of the byte string b'Nobody inspects the spammish repetition':
 
     >>> import hashlib
     >>> m = hashlib.md5()
     >>> m.update(b"Nobody inspects")
     >>> m.update(b" the spammish repetition")
     >>> m.digest()
-    b'\\xbbd\\x9c\\x83\\xdd\\x1e\\xa5\\xc9\\xd9\\xde\\xc9\\xa1\\x8d\\xf0\\xff\\xe9'
+    b'\xbbd\x9c\x83\xdd\x1e\xa5\xc9\xd9\xde\xc9\xa1\x8d\xf0\xff\xe9'
 
 More condensed:
 
-    >>> hashlib.sha224(b"Nobody inspects the spammish repetition").hexdigest()
-    'a4337bc45a8fc544c03f52dc550cd6e1e87021bc896588bd79e901e2'
+    >>> hashlib.md5(b"Nobody inspects the spammish repetition").hexdigest()
+    'bb649c83dd1ea5c9d9dec9a18df0ffe9'
 
 """
 
@@ -203,7 +203,7 @@ def file_digest(fileobj, digest, /, *, _bufsize=2**18):
     *digest* must either be a hash algorithm name as a *str*, a hash
     constructor, or a callable that returns a hash object.
     """
-    # On Linux we could use AF_ALG sockets and sendfile() to archive zero-copy
+    # On Linux we could use AF_ALG sockets and sendfile() to achieve zero-copy
     # hashing with hardware acceleration.
     if isinstance(digest, str):
         digestobj = new(digest)