165458772 has 18 divisors (see below), whose sum is σ = 418243098. Its totient is φ = 55152912.

The previous prime is 165458771. The next prime is 165458819. The reversal of 165458772 is 277854561.

165458772 is a `hidden beast` number, since 1 + 65 + 4 + 587 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147768336 + 17690436 = 12156^2 + 4206^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165458771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2298003 + ... + 2298074.

Almost surely, 2^165458772 is an apocalyptic number.

165458772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165458772 is an abundant number, since it is smaller than the sum of its proper divisors (252784326).

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

165458772 is a wasteful number, since it uses less digits than its factorization.

165458772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596087 (or 4596082 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 165458772 is about 12863.0778587397. The cubic root of 165458772 is about 548.9885233549.

The spelling of 165458772 in words is "one hundred sixty-five million, four hundred fifty-eight thousand, seven hundred seventy-two".