9009961 has 2 divisors, whose sum is σ = 9009962. Its totient is φ = 9009960.

The previous prime is 9009943. The next prime is 9009977. The reversal of 9009961 is 1699009.

It is a happy number.

9009961 is digitally balanced in base 2, 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., 5494336 + 3515625 = 2344^2 + 1875^2 .

It is a cyclic number.

It is not a de Polignac number, because 9009961 - 2⁵ = 9009929 is a prime.

It is not a weakly prime, because it can be changed into another prime (9009901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504980 + 4504981.

It is an arithmetic number, because the mean of its divisors is an integer number (4504981).

Almost surely, 2^9009961 is an apocalyptic number.

It is an amenable number.

9009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009961 is an equidigital number, since it uses as much as digits as its factorization.

9009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 9009961 is about 3001.6597075618. The cubic root of 9009961 is about 208.0850936964.

The spelling of 9009961 in words is "nine million, nine thousand, nine hundred sixty-one".