165965585 has 16 divisors (see below), whose sum is σ = 208220544. Its totient is φ = 126753792.

The previous prime is 165965563. The next prime is 165965593. The reversal of 165965585 is 585569561.

165965585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 165965585 - 2⁸ = 165965329 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77489 + ... + 79601.

It is an arithmetic number, because the mean of its divisors is an integer number (13013784).

Almost surely, 2^165965585 is an apocalyptic number.

It is an amenable number.

165965585 is a deficient number, since it is larger than the sum of its proper divisors (42254959).

165965585 is a wasteful number, since it uses less digits than its factorization.

165965585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824.

The product of its digits is 1620000, while the sum is 50.

The square root of 165965585 is about 12882.7630964790. The cubic root of 165965585 is about 549.5484834283.

The spelling of 165965585 in words is "one hundred sixty-five million, nine hundred sixty-five thousand, five hundred eighty-five".