164531952 has 80 divisors (see below), whose sum is σ = 508613280. Its totient is φ = 50623488.

The previous prime is 164531951. The next prime is 164531953. The reversal of 164531952 is 259135461.

164531952 is a `hidden beast` number, since 1 + 645 + 3 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164531951) and next prime (164531953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164531951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9033 + ... + 20264.

It is an arithmetic number, because the mean of its divisors is an integer number (6357666).

Almost surely, 2^164531952 is an apocalyptic number.

164531952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164531952 is an abundant number, since it is smaller than the sum of its proper divisors (344081328).

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

164531952 is a wasteful number, since it uses less digits than its factorization.

164531952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29327 (or 29315 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 164531952 is about 12827.0008965463. Note that the first 3 decimals coincide. The cubic root of 164531952 is about 547.9615473756.

The spelling of 164531952 in words is "one hundred sixty-four million, five hundred thirty-one thousand, nine hundred fifty-two".