165117257 has 4 divisors (see below), whose sum is σ = 165154836. Its totient is φ = 165079680.

The previous prime is 165117241. The next prime is 165117259. The reversal of 165117257 is 752711561.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77862976 + 87254281 = 8824^2 + 9341^2 .

It is a cyclic number.

It is not a de Polignac number, because 165117257 - 2⁴ = 165117241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165117259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11168 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (41288709).

Almost surely, 2^165117257 is an apocalyptic number.

It is an amenable number.

165117257 is a deficient number, since it is larger than the sum of its proper divisors (37579).

165117257 is an equidigital number, since it uses as much as digits as its factorization.

165117257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37578.

The product of its digits is 14700, while the sum is 35.

The square root of 165117257 is about 12849.7959905984. The cubic root of 165117257 is about 548.6105501271.

The spelling of 165117257 in words is "one hundred sixty-five million, one hundred seventeen thousand, two hundred fifty-seven".