165665313 has 48 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 91808640.

The previous prime is 165665299. The next prime is 165665327. The reversal of 165665313 is 313566561.

165665313 is a `hidden beast` number, since 1 + 65 + 66 + 531 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (165665299) and next prime (165665327).

It is not a de Polignac number, because 165665313 - 2⁶ = 165665249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165665413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53031 + ... + 56067.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^165665313 is an apocalyptic number.

It is an amenable number.

165665313 is a deficient number, since it is larger than the sum of its proper divisors (118691487).

165665313 is a wasteful number, since it uses less digits than its factorization.

165665313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3099 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 165665313 is about 12871.1037988201. The cubic root of 165665313 is about 549.2168611843.

The spelling of 165665313 in words is "one hundred sixty-five million, six hundred sixty-five thousand, three hundred thirteen".