165924 has 36 divisors (see below), whose sum is σ = 458640. Its totient is φ = 50160.

The previous prime is 165901. The next prime is 165931. The reversal of 165924 is 429561.

165924 is a `hidden beast` number, since 1 + 659 + 2 + 4 = 666.

165924 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

165924 is a Friedman number, since it can be written as (9+12^5/6)*4, using all its digits and the basic arithmetic operations.

2¹⁶⁵⁹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

165924 is an abundant number, since it is smaller than the sum of its proper divisors (292716).

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

165924 is a wasteful number, since it uses less digits than its factorization.

165924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 165924 is about 407.3376977398. The cubic root of 165924 is about 54.9502580573.

It can be divided in two parts, 165 and 924, that added together give a square (1089 = 33²).

The spelling of 165924 in words is "one hundred sixty-five thousand, nine hundred twenty-four".