87165 has 24 divisors (see below), whose sum is σ = 163800. Its totient is φ = 42624.

The previous prime is 87151. The next prime is 87179. The reversal of 87165 is 56178.

It is an interprime number because it is at equal distance from previous prime (87151) and next prime (87179).

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 86436 = 27^2 + 294^2 .

It is not a de Polignac number, because 87165 - 2⁴ = 87149 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 44.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁸⁷¹⁶⁵ is an apocalyptic number.

It is an amenable number.

87165 is a deficient number, since it is larger than the sum of its proper divisors (76635).

87165 is a wasteful number, since it uses less digits than its factorization.

87165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

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

The square root of 87165 is about 295.2371927790. The cubic root of 87165 is about 44.3384708966.

It can be divided in two parts, 87 and 165, that added together give a palindrome (252).

The spelling of 87165 in words is "eighty-seven thousand, one hundred sixty-five".