164892165 has 48 divisors (see below), whose sum is σ = 286316928. Its totient is φ = 80963712.

The previous prime is 164892149. The next prime is 164892179. The reversal of 164892165 is 561298461.

It is not a de Polignac number, because 164892165 - 2⁴ = 164892149 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199944 + ... + 200766.

It is an arithmetic number, because the mean of its divisors is an integer number (5964936).

Almost surely, 2^164892165 is an apocalyptic number.

164892165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164892165 is a deficient number, since it is larger than the sum of its proper divisors (121424763).

164892165 is a wasteful number, since it uses less digits than its factorization.

164892165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 887 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 164892165 is about 12841.0344209491. The cubic root of 164892165 is about 548.3611435243.

The spelling of 164892165 in words is "one hundred sixty-four million, eight hundred ninety-two thousand, one hundred sixty-five".