Definition:Anagram

Theorem
Let $b \in \Z_{>1}$ be an integer greater than $1$.

Let $m$ be an integer expressed in base $b$.

An anagram base $b$ of $m$ is an integer formed by the digits of $m$ written in a different order.

When the number base of $m$ is not specified, base $10$ is assumed.

Origin of Term
The word anagram in this context was coined by as an extension of its use in natural language to shorten the unbearably unwieldy term integer formed from a permutation of the digits.