58975 has 12 divisors (see below), whose sum is σ = 83824. Its totient is φ = 40320.

The previous prime is 58967. The next prime is 58979. The reversal of 58975 is 57985.

It is not a de Polignac number, because 58975 - 2³ = 58967 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 343.

2⁵⁸⁹⁷⁵ is an apocalyptic number.

58975 is a deficient number, since it is larger than the sum of its proper divisors (24849).

58975 is a wasteful number, since it uses less digits than its factorization.

58975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its digits is 12600, while the sum is 34.

The square root of 58975 is about 242.8476888916. The cubic root of 58975 is about 38.9244647994.

Subtracting from 58975 its reverse (57985), we obtain a triangular number (990 = T₄₄).

The spelling of 58975 in words is "fifty-eight thousand, nine hundred seventy-five".