87725 has 18 divisors (see below), whose sum is σ = 123690. Its totient is φ = 61600.

The previous prime is 87721. The next prime is 87739. The reversal of 87725 is 52778.

87725 = 170² + 171² + 172².

It can be written as a sum of positive squares in 3 ways, for example, as 5929 + 81796 = 77^2 + 286^2 .

It is not a de Polignac number, because 87725 - 2² = 87721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87725.

It is not an unprimeable number, because it can be changed into a prime (87721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3011 + ... + 3039.

2⁸⁷⁷²⁵ is an apocalyptic number.

87725 is the 242-nd pentagonal number.

It is an amenable number.

87725 is a deficient number, since it is larger than the sum of its proper divisors (35965).

87725 is a wasteful number, since it uses less digits than its factorization.

87725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 87725 is about 296.1840643924. The cubic root of 87725 is about 44.4332205454.

Multiplying 87725 by its sum of digits (29), we get a square (2544025 = 1595²).

87725 divided by its sum of digits (29) gives a square (3025 = 55²).

The spelling of 87725 in words is "eighty-seven thousand, seven hundred twenty-five".