Definition:Amicable Pair

Definition
Let $m \in \Z_{>0}$ and $n \in \Z_{>0}$ be (strictly) positive integers.

Also known as
Amicable numbers are often referred to as amicable pairs, which acknowledges the fact that they come in sets of $2$ at a time.

Some sources refer to them as friendly pairs, but this is deprecated as the term friendly pair is usually used for something different.

Also see

 * Equivalence of Definitions of Amicable Numbers


 * Definition:Sociable Number
 * Definition:Sociable Chain
 * Definition:Quasiamicable Numbers