58875 has 16 divisors (see below), whose sum is σ = 98592. Its totient is φ = 31200.

The previous prime is 58831. The next prime is 58889. The reversal of 58875 is 57885.

It is not a de Polignac number, because 58875 - 2⁹ = 58363 is a prime.

Its product of digits (11200) is a multiple of the sum of its prime factors (175).

58875 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58875.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (6162).

2⁵⁸⁸⁷⁵ is an apocalyptic number.

58875 is a deficient number, since it is larger than the sum of its proper divisors (39717).

58875 is a wasteful number, since it uses less digits than its factorization.

58875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 58875 is about 242.6417111710. The cubic root of 58875 is about 38.9024518074.

Subtracting from 58875 its reverse (57885), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 588 and 75, that multiplied together give a square (44100 = 210²).

The spelling of 58875 in words is "fifty-eight thousand, eight hundred seventy-five".