58075 has 12 divisors (see below), whose sum is σ = 75888. Its totient is φ = 44000.

The previous prime is 58073. The next prime is 58099. The reversal of 58075 is 57085.

It is not a de Polignac number, because 58075 - 2¹ = 58073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

58075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (58073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (6324).

2⁵⁸⁰⁷⁵ is an apocalyptic number.

58075 is a deficient number, since it is larger than the sum of its proper divisors (17813).

58075 is a wasteful number, since it uses less digits than its factorization.

58075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 58075 is about 240.9875515457. The cubic root of 58075 is about 38.7254440328.

Subtracting from 58075 its reverse (57085), we obtain a triangular number (990 = T₄₄).

The spelling of 58075 in words is "fifty-eight thousand, seventy-five".