164192931 has 24 divisors (see below), whose sum is σ = 272130144. Its totient is φ = 93450240.

The previous prime is 164192923. The next prime is 164192969. The reversal of 164192931 is 139291461.

It is a happy number.

164192931 is a `hidden beast` number, since 1 + 641 + 9 + 2 + 9 + 3 + 1 = 666.

It is not a de Polignac number, because 164192931 - 2³ = 164192923 is a prime.

It is a super-2 number, since 2×164192931² = 53918637180741522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164192531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11121 + ... + 21261.

It is an arithmetic number, because the mean of its divisors is an integer number (11338756).

Almost surely, 2^164192931 is an apocalyptic number.

164192931 is a deficient number, since it is larger than the sum of its proper divisors (107937213).

164192931 is a wasteful number, since it uses less digits than its factorization.

164192931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10408 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 164192931 is about 12813.7789508014. The cubic root of 164192931 is about 547.5849270896.

The spelling of 164192931 in words is "one hundred sixty-four million, one hundred ninety-two thousand, nine hundred thirty-one".