165584 has 20 divisors (see below), whose sum is σ = 327360. Its totient is φ = 81120.

The previous prime is 165569. The next prime is 165587. The reversal of 165584 is 485561.

It is a happy number.

It is a super-2 number, since 2×165584² = 54836122112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165584.

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

165584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1199 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2¹⁶⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

165584 is a deficient number, since it is larger than the sum of its proper divisors (161776).

165584 is a wasteful number, since it uses less digits than its factorization.

165584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 165584 is about 406.9201395852. The cubic root of 165584 is about 54.9126989667.

The spelling of 165584 in words is "one hundred sixty-five thousand, five hundred eighty-four".