165945924 has 81 divisors (see below), whose sum is σ = 446666493. Its totient is φ = 51940224.

The previous prime is 165945911. The next prime is 165945931. The reversal of 165945924 is 429549561.

The square root of 165945924 is 12882.

It is a perfect power (a square), and thus also a powerful number.

165945924 is a `hidden beast` number, since 1 + 6 + 59 + 4 + 592 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2924100 + 163021824 = 1710^2 + 12768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165945924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1468492 + ... + 1468604.

Almost surely, 2^165945924 is an apocalyptic number.

165945924 is the 12882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165945924

165945924 is an abundant number, since it is smaller than the sum of its proper divisors (280720569).

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

165945924 is a wasteful number, since it uses less digits than its factorization.

165945924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The cubic root of 165945924 is about 549.5267819423.

The spelling of 165945924 in words is "one hundred sixty-five million, nine hundred forty-five thousand, nine hundred twenty-four".