687625 has 8 divisors (see below), whose sum is σ = 858312. Its totient is φ = 550000.

The previous prime is 687623. The next prime is 687637. The reversal of 687625 is 526786.

687625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 678976 = 93^2 + 824^2 .

It is not a de Polignac number, because 687625 - 2¹ = 687623 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (687623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (107289).

2⁶⁸⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

687625 is a deficient number, since it is larger than the sum of its proper divisors (170687).

687625 is an equidigital number, since it uses as much as digits as its factorization.

687625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5506 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 687625 is about 829.2315719990. The cubic root of 687625 is about 88.2640570716.

The spelling of 687625 in words is "six hundred eighty-seven thousand, six hundred twenty-five".