59325 has 24 divisors (see below), whose sum is σ = 113088. Its totient is φ = 26880.

The previous prime is 59281. The next prime is 59333. The reversal of 59325 is 52395.

It is not a de Polignac number, because 59325 - 2⁷ = 59197 is a prime.

59325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 59295 and 59304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁵⁹³²⁵ is an apocalyptic number.

It is an amenable number.

59325 is a deficient number, since it is larger than the sum of its proper divisors (53763).

59325 is a wasteful number, since it uses less digits than its factorization.

59325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 59325 is about 243.5672391764. The cubic root of 59325 is about 39.0013148801.

Subtracting from 59325 its product of digits (1350), we obtain a palindrome (57975).

The spelling of 59325 in words is "fifty-nine thousand, three hundred twenty-five".