164956 has 24 divisors (see below), whose sum is σ = 330624. Its totient is φ = 71280.

The previous prime is 164953. The next prime is 164963. The reversal of 164956 is 659461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164953) 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 7 ways as a sum of consecutive naturals, for example, 931 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2¹⁶⁴⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

164956 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164956 is a wasteful number, since it uses less digits than its factorization.

164956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 164956 is about 406.1477563646. The cubic root of 164956 is about 54.8431897073.

The spelling of 164956 in words is "one hundred sixty-four thousand, nine hundred fifty-six".