165106713 has 64 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 94348800.

The previous prime is 165106699. The next prime is 165106717. The reversal of 165106713 is 317601561.

165106713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165106713 - 2¹² = 165102617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165106717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3115195 + ... + 3115247.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^165106713 is an apocalyptic number.

It is an amenable number.

165106713 is a deficient number, since it is larger than the sum of its proper divisors (90360807).

165106713 is a wasteful number, since it uses less digits than its factorization.

165106713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 165106713 is about 12849.3857051612. The cubic root of 165106713 is about 548.5988722184.

The spelling of 165106713 in words is "one hundred sixty-five million, one hundred six thousand, seven hundred thirteen".