87615 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 41760.

The previous prime is 87613. The next prime is 87623. The reversal of 87615 is 51678.

It is a Cunningham number, because it is equal to 296²-1.

It is not a de Polignac number, because 87615 - 2¹ = 87613 is a prime.

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

Its product of digits (1680) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁸⁷⁶¹⁵ is an apocalyptic number.

87615 is a deficient number, since it is larger than the sum of its proper divisors (85185).

87615 is a wasteful number, since it uses less digits than its factorization.

87615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 87615 is about 295.9983108060. The cubic root of 87615 is about 44.4146408984.

Subtracting from 87615 its reverse (51678), we obtain a cube (35937 = 33³).

The spelling of 87615 in words is "eighty-seven thousand, six hundred fifteen".