165588 has 12 divisors (see below), whose sum is σ = 386400. Its totient is φ = 55192.

The previous prime is 165587. The next prime is 165589. The reversal of 165588 is 885561.

It is an interprime number because it is at equal distance from previous prime (165587) and next prime (165589).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6888 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (32200).

2¹⁶⁵⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

165588 is an abundant number, since it is smaller than the sum of its proper divisors (220812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165588 is a wasteful number, since it uses less digits than its factorization.

165588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13806 (or 13804 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 165588 is about 406.9250545248. The cubic root of 165588 is about 54.9131411371.

It can be divided in two parts, 165 and 588, that multiplied together give a triangular number (97020 = T₄₄₀).

The spelling of 165588 in words is "one hundred sixty-five thousand, five hundred eighty-eight".