165684 has 12 divisors (see below), whose sum is σ = 386624. Its totient is φ = 55224.

The previous prime is 165673. The next prime is 165701. The reversal of 165684 is 486561.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6892 + ... + 6915.

2¹⁶⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

165684 is an abundant number, since it is smaller than the sum of its proper divisors (220940).

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

165684 is a wasteful number, since it uses less digits than its factorization.

165684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13814 (or 13812 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 165684 is about 407.0429952720. The cubic root of 165684 is about 54.9237510910.

The spelling of 165684 in words is "one hundred sixty-five thousand, six hundred eighty-four".