58916 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 24480.

The previous prime is 58913. The next prime is 58921. The reversal of 58916 is 61985.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2⁵⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

58916 is an abundant number, since it is smaller than the sum of its proper divisors (63388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

58916 is a wasteful number, since it uses less digits than its factorization.

58916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 58916 is about 242.7261831777. The cubic root of 58916 is about 38.9114801467.

The spelling of 58916 in words is "fifty-eight thousand, nine hundred sixteen".