164165166 has 48 divisors (see below), whose sum is σ = 390572208. Its totient is φ = 49420800.

The previous prime is 164165147. The next prime is 164165171. The reversal of 164165166 is 661561461.

It is a happy number.

164165166 is a `hidden beast` number, since 1 + 641 + 6 + 5 + 1 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164165166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28446 + ... + 33726.

It is an arithmetic number, because the mean of its divisors is an integer number (8136921).

Almost surely, 2^164165166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164165166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195286104).

164165166 is an abundant number, since it is smaller than the sum of its proper divisors (226407042).

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

164165166 is a wasteful number, since it uses less digits than its factorization.

164165166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5454 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 164165166 is about 12812.6955009475. The cubic root of 164165166 is about 547.5540598399.

The spelling of 164165166 in words is "one hundred sixty-four million, one hundred sixty-five thousand, one hundred sixty-six".