165164257 has 2 divisors, whose sum is σ = 165164258. Its totient is φ = 165164256.

The previous prime is 165164239. The next prime is 165164261. The reversal of 165164257 is 752461561.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127599616 + 37564641 = 11296^2 + 6129^2 .

It is a cyclic number.

It is not a de Polignac number, because 165164257 - 2²⁷ = 30946529 is a prime.

It is not a weakly prime, because it can be changed into another prime (165164227) 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 as a sum of consecutive naturals, namely, 82582128 + 82582129.

It is an arithmetic number, because the mean of its divisors is an integer number (82582129).

Almost surely, 2^165164257 is an apocalyptic number.

It is an amenable number.

165164257 is a deficient number, since it is larger than the sum of its proper divisors (1).

165164257 is an equidigital number, since it uses as much as digits as its factorization.

165164257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 37.

The square root of 165164257 is about 12851.6246832842. The cubic root of 165164257 is about 548.6625984920.

The spelling of 165164257 in words is "one hundred sixty-five million, one hundred sixty-four thousand, two hundred fifty-seven".