Anagram

Literally, the letters of a word read backwards, but in its usual wider sense, the change or one word or phrase into another by the transposition of its letters. Thus Galenus becomes angelus; William Noy (attorney-general to Charles I., and a laborious man) may be turned into I moyl in law.

To anagrammatize.

a word or phrase spelled by rearranging the letters of another word or phrase