65164931 has 16 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 58631040.

The previous prime is 65164921. The next prime is 65164933. The reversal of 65164931 is 13946156.

65164931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65164931 - 2¹⁴ = 65148547 is a prime.

It is a super-2 number, since 2×65164931² = 8492936464469522, 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 = 65164891 and 65164900.

It is not an unprimeable number, because it can be changed into a prime (65164933) 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 15 ways as a sum of consecutive naturals, for example, 186545 + ... + 186893.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^65164931 is an apocalyptic number.

65164931 is a deficient number, since it is larger than the sum of its proper divisors (6806269).

65164931 is a wasteful number, since it uses less digits than its factorization.

65164931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its digits is 19440, while the sum is 35.

The square root of 65164931 is about 8072.4798544190. The cubic root of 65164931 is about 402.4123616146.

The spelling of 65164931 in words is "sixty-five million, one hundred sixty-four thousand, nine hundred thirty-one".