65965313 has 2 divisors, whose sum is σ = 65965314. Its totient is φ = 65965312.

The previous prime is 65965307. The next prime is 65965327. The reversal of 65965313 is 31356956.

65965313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51955264 + 14010049 = 7208^2 + 3743^2 .

It is a cyclic number.

It is not a de Polignac number, because 65965313 - 2⁴ = 65965297 is a prime.

It is not a weakly prime, because it can be changed into another prime (65965013) 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 as a sum of consecutive naturals, namely, 32982656 + 32982657.

It is an arithmetic number, because the mean of its divisors is an integer number (32982657).

Almost surely, 2^65965313 is an apocalyptic number.

It is an amenable number.

65965313 is a deficient number, since it is larger than the sum of its proper divisors (1).

65965313 is an equidigital number, since it uses as much as digits as its factorization.

65965313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72900, while the sum is 38.

The square root of 65965313 is about 8121.9032867918. The cubic root of 65965313 is about 404.0531924374.

The spelling of 65965313 in words is "sixty-five million, nine hundred sixty-five thousand, three hundred thirteen".