58964 has 6 divisors (see below), whose sum is σ = 103194. Its totient is φ = 29480.

The previous prime is 58963. The next prime is 58967. The reversal of 58964 is 46985.

58964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 400 = 242^2 + 20^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 58964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7367 + ... + 7374.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2⁵⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

58964 is a deficient number, since it is larger than the sum of its proper divisors (44230).

58964 is a wasteful number, since it uses less digits than its factorization.

58964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14745 (or 14743 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 58964 is about 242.8250398950. The cubic root of 58964 is about 38.9220445889.

Adding to 58964 its sum of digits (32), we get a triangular number (58996 = T₃₄₃).

The spelling of 58964 in words is "fifty-eight thousand, nine hundred sixty-four".