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a word, phrase, or sentence formed from another by rearranging its letters: “Angel” is an anagram of “glean.”.
anagrams, (used with a singular verb) a game in which the players build words by transposing and, often, adding letters.
to form (the letters of a text) into a secret message by rearranging them.
to rearrange (the letters of a text) so as to discover a secret message.
Contemporary Examples

[From The Daily Beast’s own Brian Ries] Hi Ron Paul your name is an anagram for “Our Plan.”
Ron Paul Hits Reddit The Daily Beast August 21, 2013

Even the title of the film is an anagram of “Truths Denials.”
Shutter Island: Masterpiece or Dud? Sean Macaulay February 24, 2010

Historical Examples

Several letters included in the words of the sonnet, remained unused in my anagram.
The Haunts of Old Cockaigne Alex Thompson

He announced this also by an anagram, and waited till it should become a crescent, which it did.
Pioneers of Science Oliver Lodge

Mero is the anagram of Rome; Engu of Geneva, and they are two sisters who aspire to the succession of the kingdom of their father.
A Philosophical Dictionary, Volume 8 (of 10) Franois-Marie Arouet (AKA Voltaire)

He will send me, in response to the demand, as Mlle. Roland,—an anagram of my own name.
The Master of Warlock George Cary Eggleston

It happening that both had the same name, Catherine, they passed the whole afternoon in forming it into an anagram.
Curiosities of Literature, Vol. 1 (of 3) Isaac D’Israeli

The signature of this letter is an anagram of my ancestor’s name.
Passages From the English Notebooks, Volume 2 Nathaniel Hawthorne

Sir Henry Wood suggested that the method of the anagram or palindrome yielded very happy results.
Punch, or the London Charivari, Vol. 146, April 1, 1914 Various

From Coote he gathered something of the nature of anagrams and anagram parties.
Kipps H. G. Wells

noun
a word or phrase the letters of which can be rearranged into another word or phrase
n.

transposition of letters in a word so as to form another, 1580s, from French anagramme or Modern Latin anagramma (16c.), both from Greek anagrammatizein “transpose letters,” from ana- “up, back” (see ana-) + gramma (genitive grammatos) “letter” (see grammar). Related: Anagrammatical; anagrammatically.