58725 has 30 divisors (see below), whose sum is σ = 112530. Its totient is φ = 30240.

The previous prime is 58711. The next prime is 58727. The reversal of 58725 is 52785.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3969 + 54756 = 63^2 + 234^2 .

It is not a de Polignac number, because 58725 - 2⁵ = 58693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in 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 (58727) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2011 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (3751).

2⁵⁸⁷²⁵ is an apocalyptic number.

It is an amenable number.

58725 is a deficient number, since it is larger than the sum of its proper divisors (53805).

58725 is a wasteful number, since it uses less digits than its factorization.

58725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 58725 is about 242.3324163211. The cubic root of 58725 is about 38.8693855341.

The spelling of 58725 in words is "fifty-eight thousand, seven hundred twenty-five".