165737013 has 32 divisors (see below), whose sum is σ = 242745216. Its totient is φ = 99975168.

The previous prime is 165736999. The next prime is 165737027. The reversal of 165737013 is 310737561.

165737013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165736999) and next prime (165737027).

It is not a de Polignac number, because 165737013 - 2⁴ = 165736997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165737053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730006 + ... + 730232.

It is an arithmetic number, because the mean of its divisors is an integer number (7585788).

Almost surely, 2^165737013 is an apocalyptic number.

165737013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165737013 is a deficient number, since it is larger than the sum of its proper divisors (77008203).

165737013 is a wasteful number, since it uses less digits than its factorization.

165737013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 165737013 is about 12873.8888064174. Note that the first 4 decimals coincide. The cubic root of 165737013 is about 549.2960835001.

The spelling of 165737013 in words is "one hundred sixty-five million, seven hundred thirty-seven thousand, thirteen".