9905113 has 2 divisors, whose sum is σ = 9905114. Its totient is φ = 9905112.

The previous prime is 9905087. The next prime is 9905123. The reversal of 9905113 is 3115099.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 2679769 = 2688^2 + 1637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9905113 is a prime.

It is a super-2 number, since 2×9905113² = 196222527085538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9905123) 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, 4952556 + 4952557.

It is an arithmetic number, because the mean of its divisors is an integer number (4952557).

Almost surely, 2^9905113 is an apocalyptic number.

It is an amenable number.

9905113 is a deficient number, since it is larger than the sum of its proper divisors (1).

9905113 is an equidigital number, since it uses as much as digits as its factorization.

9905113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 9905113 is about 3147.2389486660. The cubic root of 9905113 is about 214.7598761384.

The spelling of 9905113 in words is "nine million, nine hundred five thousand, one hundred thirteen".