85920165 has 24 divisors (see below), whose sum is σ = 149193720. Its totient is φ = 45742464.

The previous prime is 85920161. The next prime is 85920167. The reversal of 85920165 is 56102958.

It is a happy number.

85920165 is a `hidden beast` number, since 8 + 592 + 0 + 1 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 431649 + 85488516 = 657^2 + 9246^2 .

It is not a de Polignac number, because 85920165 - 2² = 85920161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85920161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30559 + ... + 33251.

It is an arithmetic number, because the mean of its divisors is an integer number (6216405).

Almost surely, 2^85920165 is an apocalyptic number.

It is an amenable number.

85920165 is a deficient number, since it is larger than the sum of its proper divisors (63273555).

85920165 is a wasteful number, since it uses less digits than its factorization.

85920165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85920165 is about 9269.3130813453. The cubic root of 85920165 is about 441.2638678776.

The spelling of 85920165 in words is "eighty-five million, nine hundred twenty thousand, one hundred sixty-five".