They knead you
Kneading refers to a cat’s habit of using its front paws to massage a person’s chest or stomach. It goes back to kittenhood, when a nursing kitten uses its tiny paws to massage its mother’s udder while sucking. Kneading is inevitably accompanied by purring, and both adults and kittens are clearly in cat heaven while kneading.
Some cat owners love this evidence that cats can pet their owners as well as be petted. On the other hand, kneading can be downright painful to people, because a cat’s claws are definitely out while kneading. Owners of declawed cats (including the author) find kneading to be a perfectly painless and delightful aspect of cat ownership.