9968113 has 2 divisors, whose sum is σ = 9968114. Its totient is φ = 9968112.

The previous prime is 9968053. The next prime is 9968117. The reversal of 9968113 is 3118699.

9968113 = 2232² + 2233².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4986289 + 4981824 = 2233^2 + 2232^2 .

It is an emirp because it is prime and its reverse (3118699) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9968113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9968117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4984056 + 4984057.

It is an arithmetic number, because the mean of its divisors is an integer number (4984057).

Almost surely, 2^9968113 is an apocalyptic number.

9968113 is the 2233-rd centered square number.

It is an amenable number.

9968113 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968113 is an equidigital number, since it uses as much as digits as its factorization.

9968113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 37.

The square root of 9968113 is about 3157.2318571812. The cubic root of 9968113 is about 215.2142303092.

The spelling of 9968113 in words is "nine million, nine hundred sixty-eight thousand, one hundred thirteen".