58065 has 24 divisors (see below), whose sum is σ = 109440. Its totient is φ = 26208.

The previous prime is 58061. The next prime is 58067. The reversal of 58065 is 56085.

58065 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 not a de Polignac number, because 58065 - 2² = 58061 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2⁵⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

58065 is a deficient number, since it is larger than the sum of its proper divisors (51375).

58065 is a wasteful number, since it uses less digits than its factorization.

58065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 58065 is about 240.9668026928. The cubic root of 58065 is about 38.7232211792.

Subtracting from 58065 its product of nonzero digits (1200), we obtain a palindrome (56865).

The spelling of 58065 in words is "fifty-eight thousand, sixty-five".