In Mathematics
Fifty-eight has an aliquot sum of 32 and is the second composite member of the 83-aliquot tree.
Fifty-eight is the sum of the first seven prime numbers, an 11-gonal number, and a Smith number. Given 58, the Mertens function returns 0.
There is no solution to the equation x - φ(x) = 58, making 58 a noncototient. However, the sum of the totient function for the first thirteen integers is 58.
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