164493972 has 36 divisors (see below), whose sum is σ = 440264916. Its totient is φ = 51605760.

The previous prime is 164493929. The next prime is 164493991. The reversal of 164493972 is 279394461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82519056 + 81974916 = 9084^2 + 9054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133779 + ... + 135002.

It is an arithmetic number, because the mean of its divisors is an integer number (12229581).

Almost surely, 2^164493972 is an apocalyptic number.

164493972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164493972 is an abundant number, since it is smaller than the sum of its proper divisors (275770944).

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

164493972 is a wasteful number, since it uses less digits than its factorization.

164493972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268808 (or 268803 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 164493972 is about 12825.5203403215. The cubic root of 164493972 is about 547.9193809334.

The spelling of 164493972 in words is "one hundred sixty-four million, four hundred ninety-three thousand, nine hundred seventy-two".