65664313 has 16 divisors (see below), whose sum is σ = 77680512. Its totient is φ = 54720000.

The previous prime is 65664301. The next prime is 65664317. The reversal of 65664313 is 31346656.

It is a cyclic number.

It is not a de Polignac number, because 65664313 - 2⁵ = 65664281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65664317) 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, 20073 + ... + 23113.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2^65664313 is an apocalyptic number.

It is an amenable number.

65664313 is a deficient number, since it is larger than the sum of its proper divisors (12016199).

65664313 is a wasteful number, since it uses less digits than its factorization.

65664313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its digits is 38880, while the sum is 34.

The square root of 65664313 is about 8103.3519607629. The cubic root of 65664313 is about 403.4376898348.

It can be divided in two parts, 656643 and 13, that added together give a palindrome (656656).

The spelling of 65664313 in words is "sixty-five million, six hundred sixty-four thousand, three hundred thirteen".