58524 has 12 divisors (see below), whose sum is σ = 136584. Its totient is φ = 19504.

The previous prime is 58511. The next prime is 58537. The reversal of 58524 is 42585.

58524 = 82² + 83² + ... + 89².

58524 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58511) and next prime (58537).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 58494 and 58503.

It is a congruent number.

It is an unprimeable number.

58524 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2427 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (11382).

2⁵⁸⁵²⁴ is an apocalyptic number.

It is an amenable number.

58524 is an abundant number, since it is smaller than the sum of its proper divisors (78060).

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 (68292).

58524 is a wasteful number, since it uses less digits than its factorization.

58524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4882 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 58524 is about 241.9173412552. The cubic root of 58524 is about 38.8249883317.

The spelling of 58524 in words is "fifty-eight thousand, five hundred twenty-four".