87507 has 16 divisors (see below), whose sum is σ = 148480. Its totient is φ = 49896.

The previous prime is 87491. The next prime is 87509. The reversal of 87507 is 70578.

It is not a de Polignac number, because 87507 - 2⁴ = 87491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87507.

It is not an unprimeable number, because it can be changed into a prime (87509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (9280).

2⁸⁷⁵⁰⁷ is an apocalyptic number.

87507 is a deficient number, since it is larger than the sum of its proper divisors (60973).

87507 is a wasteful number, since it uses less digits than its factorization.

87507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 87507 is about 295.8158210779. The cubic root of 87507 is about 44.3963839276.

The spelling of 87507 in words is "eighty-seven thousand, five hundred seven".