87287625 has 80 divisors (see below), whose sum is σ = 167845392. Its totient is φ = 45100800.

The previous prime is 87287623. The next prime is 87287657. The reversal of 87287625 is 52678278.

It can be written as a sum of positive squares in 8 ways, for example, as 22838841 + 64448784 = 4779^2 + 8028^2 .

It is not a de Polignac number, because 87287625 - 2¹ = 87287623 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87287621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374509 + ... + 374741.

Almost surely, 2^87287625 is an apocalyptic number.

It is an amenable number.

87287625 is a deficient number, since it is larger than the sum of its proper divisors (80557767).

87287625 is a wasteful number, since it uses less digits than its factorization.

87287625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 87287625 is about 9342.7846491290. The cubic root of 87287625 is about 443.5925315772.

The spelling of 87287625 in words is "eighty-seven million, two hundred eighty-seven thousand, six hundred twenty-five".