87505 has 16 divisors (see below), whose sum is σ = 120384. Its totient is φ = 60480.

The previous prime is 87491. The next prime is 87509. The reversal of 87505 is 50578.

87505 = 89² + 90² + ... + 98².

It is not a de Polignac number, because 87505 - 2⁵ = 87473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87505.

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, 2014 + ... + 2056.

It is an arithmetic number, because the mean of its divisors is an integer number (7524).

2⁸⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

87505 is a deficient number, since it is larger than the sum of its proper divisors (32879).

87505 is a wasteful number, since it uses less digits than its factorization.

87505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 87505 is about 295.8124405768. The cubic root of 87505 is about 44.3960456939.

The spelling of 87505 in words is "eighty-seven thousand, five hundred five".