88165 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 54720.

The previous prime is 88129. The next prime is 88169. The reversal of 88165 is 56188.

It is a happy number.

It is not a de Polignac number, because 88165 - 2⁷ = 88037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88169) 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, 271 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁸⁸¹⁶⁵ is an apocalyptic number.

It is an amenable number.

88165 is a deficient number, since it is larger than the sum of its proper divisors (44315).

88165 is a wasteful number, since it uses less digits than its factorization.

88165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 1920, while the sum is 28.

The square root of 88165 is about 296.9259166863. The cubic root of 88165 is about 44.5073842058.

It can be divided in two parts, 881 and 65, that added together give a triangular number (946 = T₄₃).

The spelling of 88165 in words is "eighty-eight thousand, one hundred sixty-five".