164311931 has 16 divisors (see below), whose sum is σ = 201252864. Its totient is φ = 131069664.

The previous prime is 164311921. The next prime is 164311933. The reversal of 164311931 is 139113461.

It is a cyclic number.

It is not a de Polignac number, because 164311931 - 2¹⁰ = 164310907 is a prime.

It is a super-2 number, since 2×164311931² = 53996821337897522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164311894 and 164311903.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835 + ... + 19748.

It is an arithmetic number, because the mean of its divisors is an integer number (12578304).

Almost surely, 2^164311931 is an apocalyptic number.

164311931 is a deficient number, since it is larger than the sum of its proper divisors (36940933).

164311931 is a wasteful number, since it uses less digits than its factorization.

164311931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27650.

The product of its digits is 1944, while the sum is 29.

The square root of 164311931 is about 12818.4215486931. The cubic root of 164311931 is about 547.7171838396.

The spelling of 164311931 in words is "one hundred sixty-four million, three hundred eleven thousand, nine hundred thirty-one".