Having a short look at the manpage clarifies your issue:
-p, --preserve-permissions, --same-permissions
extract information about file permissions (default for superuser)
But mind, that untaring your archive on some filesystems like FAT won't preserve permissions as they don't support it.
Also the numeric owner / access time preserve might be intersting to you:
--numeric-owner
always use numbers for user/group names
--atime-preserve
preserve access times on dumped files, either by restoring the
times