164002164 has 12 divisors (see below), whose sum is σ = 382671744. Its totient is φ = 54667384.

The previous prime is 164002159. The next prime is 164002199. The reversal of 164002164 is 461200461.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×164002164³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6833412 + ... + 6833435.

It is an arithmetic number, because the mean of its divisors is an integer number (31889312).

Almost surely, 2^164002164 is an apocalyptic number.

It is an amenable number.

164002164 is an abundant number, since it is smaller than the sum of its proper divisors (218669580).

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

164002164 is a wasteful number, since it uses less digits than its factorization.

164002164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666854 (or 13666852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164002164 is about 12806.3329645922. The cubic root of 164002164 is about 547.3727750088.

The spelling of 164002164 in words is "one hundred sixty-four million, two thousand, one hundred sixty-four".