diff --git a/docs/usage/key.rst b/docs/usage/key.rst
index 07b517a43..728db27eb 100644
--- a/docs/usage/key.rst
+++ b/docs/usage/key.rst
@@ -45,4 +45,16 @@ Fully automated using environment variables:
 
 .. include:: key_export.rst.inc
 
+Examples
+~~~~~~~~
+::
+
+    borg key export > encrypted-key-backup
+    borg key export --paper > encrypted-key-backup.txt
+    borg key export --qr-html > encrypted-key-backup.html
+    # Or pass the output file as an argument instead of redirecting stdout:
+    borg key export encrypted-key-backup
+    borg key export --paper encrypted-key-backup.txt
+    borg key export --qr-html encrypted-key-backup.html
+
 .. include:: key_import.rst.inc
diff --git a/src/borg/archiver/key_cmds.py b/src/borg/archiver/key_cmds.py
index c3b4e457d..1a7b4769a 100644
--- a/src/borg/archiver/key_cmds.py
+++ b/src/borg/archiver/key_cmds.py
@@ -93,18 +93,19 @@ class KeysMixIn:
         """Export the repository key for backup"""
         manager = KeyManager(repository)
         manager.load_keyblob()
-        if args.paper:
-            manager.export_paperkey(args.path)
-        else:
-            try:
-                if os.path.isdir(args.path):
-                    raise IsADirectoryError
-                if args.qr:
-                    manager.export_qr(args.path)
-                else:
-                    manager.export(args.path)
-            except IsADirectoryError:
-                raise CommandError(f"'{args.path}' must be a file, not a directory")
+        try:
+            if args.path is not None and os.path.isdir(args.path):
+                # on Windows, Python raises PermissionError instead of IsADirectoryError
+                # (like on Unix) if the file to open is actually a directory.
+                raise IsADirectoryError
+            if args.paper:
+                manager.export_paperkey(args.path)
+            elif args.qr:
+                manager.export_qr(args.path)
+            else:
+                manager.export(args.path)
+        except IsADirectoryError:
+            raise CommandError(f"'{args.path}' must be a file, not a directory")
 
     @with_repository(lock=False, exclusive=False, manifest=False, cache=False)
     def do_key_import(self, args, repository):
@@ -160,18 +161,6 @@ class KeysMixIn:
         repository in the config file. A backup is thus not strictly needed,
         but guards against the repository becoming inaccessible if the file
         is damaged for some reason.
-
-        Examples::
-
-            borg key export /path/to/repo > encrypted-key-backup
-            borg key export --paper /path/to/repo > encrypted-key-backup.txt
-            borg key export --qr-html /path/to/repo > encrypted-key-backup.html
-            # Or pass the output file as an argument instead of redirecting stdout:
-            borg key export /path/to/repo encrypted-key-backup
-            borg key export --paper /path/to/repo encrypted-key-backup.txt
-            borg key export --qr-html /path/to/repo encrypted-key-backup.html
-
-
         """
         )
         subparser = key_parsers.add_parser(