58912 has 24 divisors (see below), whose sum is σ = 133056. Its totient is φ = 25152.

The previous prime is 58909. The next prime is 58913. The reversal of 58912 is 21985.

It is a nialpdrome in base 16.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁵⁸⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

58912 is an abundant number, since it is smaller than the sum of its proper divisors (74144).

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

58912 is a wasteful number, since it uses less digits than its factorization.

58912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 58912 is about 242.7179433004. The cubic root of 58912 is about 38.9105995175.

The spelling of 58912 in words is "fifty-eight thousand, nine hundred twelve".