9965713 has 2 divisors, whose sum is σ = 9965714. Its totient is φ = 9965712.

The previous prime is 9965701. The next prime is 9965717. The reversal of 9965713 is 3175699.

9965713 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 528529 = 3072^2 + 727^2 .

It is a cyclic number.

It is not a de Polignac number, because 9965713 - 2²¹ = 7868561 is a prime.

It is a nialpdrome in base 6.

It is not a weakly prime, because it can be changed into another prime (9965717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4982856 + 4982857.

It is an arithmetic number, because the mean of its divisors is an integer number (4982857).

Almost surely, 2^9965713 is an apocalyptic number.

It is an amenable number.

9965713 is a deficient number, since it is larger than the sum of its proper divisors (1).

9965713 is an equidigital number, since it uses as much as digits as its factorization.

9965713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51030, while the sum is 40.

The square root of 9965713 is about 3156.8517545175. The cubic root of 9965713 is about 215.1969567085.

The spelling of 9965713 in words is "nine million, nine hundred sixty-five thousand, seven hundred thirteen".