58815 has 12 divisors (see below), whose sum is σ = 102024. Its totient is φ = 31344.

The previous prime is 58789. The next prime is 58831. The reversal of 58815 is 51885.

It is not a de Polignac number, because 58815 - 2⁷ = 58687 is a prime.

58815 is a lucky number.

It is a nialpdrome in base 7 and base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (8502).

2⁵⁸⁸¹⁵ is an apocalyptic number.

58815 is a deficient number, since it is larger than the sum of its proper divisors (43209).

58815 is a wasteful number, since it uses less digits than its factorization.

58815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1315 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 58815 is about 242.5180405661. The cubic root of 58815 is about 38.8892320453.

It can be divided in two parts, 5881 and 5, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 58815 in words is "fifty-eight thousand, eight hundred fifteen".