9968129 has 2 divisors, whose sum is σ = 9968130. Its totient is φ = 9968128.

The previous prime is 9968117. The next prime is 9968149. The reversal of 9968129 is 9218699.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8151025 + 1817104 = 2855^2 + 1348^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968129 - 2⁴ = 9968113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9968129.

It is not a weakly prime, because it can be changed into another prime (9968149) 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, 4984064 + 4984065.

It is an arithmetic number, because the mean of its divisors is an integer number (4984065).

Almost surely, 2^9968129 is an apocalyptic number.

It is an amenable number.

9968129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968129 is an equidigital number, since it uses as much as digits as its factorization.

9968129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 44.

The square root of 9968129 is about 3157.2343910454. The cubic root of 9968129 is about 215.2143454573.

The spelling of 9968129 in words is "nine million, nine hundred sixty-eight thousand, one hundred twenty-nine".