164506972 has 12 divisors (see below), whose sum is σ = 329014000. Its totient is φ = 70502976.

The previous prime is 164506919. The next prime is 164506973. The reversal of 164506972 is 279605461.

164506972 is an admirable number.

It is a super-3 number, since 3×164506972³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164506973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2937597 + ... + 2937652.

Almost surely, 2^164506972 is an apocalyptic number.

It is an amenable number.

164506972 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.

164506972 is a wasteful number, since it uses less digits than its factorization.

164506972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875260 (or 5875258 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 164506972 is about 12826.0271323586. The cubic root of 164506972 is about 547.9338146220.

The spelling of 164506972 in words is "one hundred sixty-four million, five hundred six thousand, nine hundred seventy-two".