165099313 has 12 divisors (see below), whose sum is σ = 173219508. Its totient is φ = 157345760.

The previous prime is 165099307. The next prime is 165099329. The reversal of 165099313 is 313990561.

It can be written as a sum of positive squares in 2 ways, for example, as 123921424 + 41177889 = 11132^2 + 6417^2 .

It is not a de Polignac number, because 165099313 - 2⁵ = 165099281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165099383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243531 + ... + 244207.

It is an arithmetic number, because the mean of its divisors is an integer number (14434959).

Almost surely, 2^165099313 is an apocalyptic number.

It is an amenable number.

165099313 is a deficient number, since it is larger than the sum of its proper divisors (8120195).

165099313 is an equidigital number, since it uses as much as digits as its factorization.

165099313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 37.

The square root of 165099313 is about 12849.0977504259. The cubic root of 165099313 is about 548.5906761206.

The spelling of 165099313 in words is "one hundred sixty-five million, ninety-nine thousand, three hundred thirteen".