165973904 has 30 divisors (see below), whose sum is σ = 330073926. Its totient is φ = 80801920.

The previous prime is 165973901. The next prime is 165973919. The reversal of 165973904 is 409379561.

165973904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 64770304 = 10060^2 + 8048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165973901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 329717 + ... + 330219.

Almost surely, 2^165973904 is an apocalyptic number.

It is an amenable number.

165973904 is a deficient number, since it is larger than the sum of its proper divisors (164100022).

165973904 is an frugal number, since it uses more digits than its factorization.

165973904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 165973904 is about 12883.0859657149. The cubic root of 165973904 is about 549.5576652866.

The spelling of 165973904 in words is "one hundred sixty-five million, nine hundred seventy-three thousand, nine hundred four".