58125 has 20 divisors (see below), whose sum is σ = 99968. Its totient is φ = 30000.

The previous prime is 58111. The next prime is 58129. The reversal of 58125 is 52185.

58125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58125 - 2⁴ = 58109 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 5 and base 9.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1860 + ... + 1890.

2⁵⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

58125 is a deficient number, since it is larger than the sum of its proper divisors (41843).

58125 is an equidigital number, since it uses as much as digits as its factorization.

58125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 58125 is about 241.0912690248. The cubic root of 58125 is about 38.7365544750.

It can be divided in two parts, 581 and 25, that added together give a palindrome (606).

The spelling of 58125 in words is "fifty-eight thousand, one hundred twenty-five".