165164 has 12 divisors (see below), whose sum is σ = 291984. Its totient is φ = 81744.

The previous prime is 165161. The next prime is 165173. The reversal of 165164 is 461561.

It is not an unprimeable number, because it can be changed into a prime (165161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (24332).

2¹⁶⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

165164 is a deficient number, since it is larger than the sum of its proper divisors (126820).

165164 is a wasteful number, since it uses less digits than its factorization.

165164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 165164 is about 406.4037401403. The cubic root of 165164 is about 54.8662313914.

The spelling of 165164 in words is "one hundred sixty-five thousand, one hundred sixty-four".