164792313 has 40 divisors (see below), whose sum is σ = 282384960. Its totient is φ = 93817440.

The previous prime is 164792219. The next prime is 164792347. The reversal of 164792313 is 313297461.

164792313 is a `hidden beast` number, since 1 + 647 + 9 + 2 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 164792313 - 2¹⁴ = 164775929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164792363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288318 + ... + 288888.

It is an arithmetic number, because the mean of its divisors is an integer number (7059624).

Almost surely, 2^164792313 is an apocalyptic number.

It is an amenable number.

164792313 is a deficient number, since it is larger than the sum of its proper divisors (117592647).

164792313 is an equidigital number, since it uses as much as digits as its factorization.

164792313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 164792313 is about 12837.1458276363. The cubic root of 164792313 is about 548.2504327595.

The spelling of 164792313 in words is "one hundred sixty-four million, seven hundred ninety-two thousand, three hundred thirteen".