165828931 has 16 divisors (see below), whose sum is σ = 186567840. Its totient is φ = 146603520.

The previous prime is 165828899. The next prime is 165828947. The reversal of 165828931 is 139828561.

It is a cyclic number.

It is not a de Polignac number, because 165828931 - 2⁵ = 165828899 is a prime.

It is a super-2 number, since 2×165828931² = 54998468713205522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165828991) 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 15 ways as a sum of consecutive naturals, for example, 13696 + ... + 22786.

It is an arithmetic number, because the mean of its divisors is an integer number (11660490).

Almost surely, 2^165828931 is an apocalyptic number.

165828931 is a deficient number, since it is larger than the sum of its proper divisors (20738909).

165828931 is a wasteful number, since it uses less digits than its factorization.

165828931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174.

The product of its digits is 103680, while the sum is 43.

The square root of 165828931 is about 12877.4582507574. The cubic root of 165828931 is about 549.3976115483.

The spelling of 165828931 in words is "one hundred sixty-five million, eight hundred twenty-eight thousand, nine hundred thirty-one".