87685 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 60480.

The previous prime is 87683. The next prime is 87691. The reversal of 87685 is 58678.

It is not a de Polignac number, because 87685 - 2¹ = 87683 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87683) 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, 1200 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁷⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

87685 is a deficient number, since it is larger than the sum of its proper divisors (33275).

87685 is a wasteful number, since it uses less digits than its factorization.

87685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

The product of its digits is 13440, while the sum is 34.

The square root of 87685 is about 296.1165311157. The cubic root of 87685 is about 44.4264661081.

It can be divided in two parts, 876 and 85, that added together give a square (961 = 31²).

The spelling of 87685 in words is "eighty-seven thousand, six hundred eighty-five".