164311938 has 48 divisors (see below), whose sum is σ = 407811456. Its totient is φ = 46837440.

The previous prime is 164311933. The next prime is 164311949. The reversal of 164311938 is 839113461.

164311938 is a `hidden beast` number, since 1 + 643 + 1 + 1 + 9 + 3 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164311933) 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, 64395 + ... + 66897.

It is an arithmetic number, because the mean of its divisors is an integer number (8496072).

Almost surely, 2^164311938 is an apocalyptic number.

164311938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

164311938 is an abundant number, since it is smaller than the sum of its proper divisors (243499518).

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

164311938 is a wasteful number, since it uses less digits than its factorization.

164311938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3036 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 164311938 is about 12818.4218217377. The cubic root of 164311938 is about 547.7171916175.

The spelling of 164311938 in words is "one hundred sixty-four million, three hundred eleven thousand, nine hundred thirty-eight".