87509625 has 128 divisors (see below), whose sum is σ = 184384512. Its totient is φ = 35942400.

The previous prime is 87509623. The next prime is 87509627. The reversal of 87509625 is 52690578.

It is an interprime number because it is at equal distance from previous prime (87509623) and next prime (87509627).

It is not a de Polignac number, because 87509625 - 2¹ = 87509623 is a prime.

87509625 is a modest number, since divided by 9625 gives 8750 as remainder.

It is not an unprimeable number, because it can be changed into a prime (87509623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1651099 + ... + 1651151.

It is an arithmetic number, because the mean of its divisors is an integer number (1440504).

Almost surely, 2^87509625 is an apocalyptic number.

87509625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87509625 is an abundant number, since it is smaller than the sum of its proper divisors (96874887).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87509625 is a wasteful number, since it uses less digits than its factorization.

87509625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 87509625 is about 9354.6579306782. The cubic root of 87509625 is about 443.9682785145.

The spelling of 87509625 in words is "eighty-seven million, five hundred nine thousand, six hundred twenty-five".