9967513 has 2 divisors, whose sum is σ = 9967514. Its totient is φ = 9967512.

The previous prime is 9967501. The next prime is 9967537. The reversal of 9967513 is 3157699.

9967513 is digitally balanced in base 3, 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., 8139609 + 1827904 = 2853^2 + 1352^2 .

It is a cyclic number.

It is not a de Polignac number, because 9967513 - 2⁵ = 9967481 is a prime.

It is not a weakly prime, because it can be changed into another prime (9967813) 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, 4983756 + 4983757.

It is an arithmetic number, because the mean of its divisors is an integer number (4983757).

Almost surely, 2^9967513 is an apocalyptic number.

It is an amenable number.

9967513 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967513 is an equidigital number, since it uses as much as digits as its factorization.

9967513 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 9967513 is about 3157.1368358055. The cubic root of 9967513 is about 215.2099121690.

The spelling of 9967513 in words is "nine million, nine hundred sixty-seven thousand, five hundred thirteen".