687525 has 24 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 359040.

The previous prime is 687523. The next prime is 687541. The reversal of 687525 is 525786.

It is a happy number.

It is not a de Polignac number, because 687525 - 2¹ = 687523 is a prime.

Its product of digits (16800) is a multiple of the sum of its prime divisors (200).

It is a Curzon number.

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 687525.

It is not an unprimeable number, because it can be changed into a prime (687521) 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, 6624 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2⁶⁸⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

687525 is a deficient number, since it is larger than the sum of its proper divisors (473115).

687525 is a wasteful number, since it uses less digits than its factorization.

687525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 687525 is about 829.1712730190. The cubic root of 687525 is about 88.2597781727.

The spelling of 687525 in words is "six hundred eighty-seven thousand, five hundred twenty-five".