687825 has 24 divisors (see below), whose sum is σ = 1264800. Its totient is φ = 366480.

The previous prime is 687823. The next prime is 687829. The reversal of 687825 is 528786.

It is not a de Polignac number, because 687825 - 2¹ = 687823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 687825.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687825.

It is not an unprimeable number, because it can be changed into a prime (687823) 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, 166 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (52700).

2⁶⁸⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

687825 is a deficient number, since it is larger than the sum of its proper divisors (576975).

687825 is a wasteful number, since it uses less digits than its factorization.

687825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1027 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 687825 is about 829.3521568067. The cubic root of 687825 is about 88.2726136251.

It can be divided in two parts, 6878 and 25, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 687825 in words is "six hundred eighty-seven thousand, eight hundred twenty-five".