87625 has 8 divisors (see below), whose sum is σ = 109512. Its totient is φ = 70000.

The previous prime is 87623. The next prime is 87629. The reversal of 87625 is 52678.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 87616 = 3^2 + 296^2 .

It is not a de Polignac number, because 87625 - 2¹ = 87623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87593 and 87602.

It is not an unprimeable number, because it can be changed into a prime (87623) 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, 226 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (13689).

2⁸⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

87625 is a deficient number, since it is larger than the sum of its proper divisors (21887).

87625 is an equidigital number, since it uses as much as digits as its factorization.

87625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 87625 is about 296.0152023123. The cubic root of 87625 is about 44.4163305996.

The spelling of 87625 in words is "eighty-seven thousand, six hundred twenty-five".