9000961 has 2 divisors, whose sum is σ = 9000962. Its totient is φ = 9000960.

The previous prime is 9000931. The next prime is 9000983. The reversal of 9000961 is 1690009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 961 = 3000^2 + 31^2 .

It is an emirp because it is prime and its reverse (1690009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9000961 - 2¹³ = 8992769 is a prime.

It is not a weakly prime, because it can be changed into another prime (9000931) 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, 4500480 + 4500481.

It is an arithmetic number, because the mean of its divisors is an integer number (4500481).

Almost surely, 2^9000961 is an apocalyptic number.

It is an amenable number.

9000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000961 is an equidigital number, since it uses as much as digits as its factorization.

9000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9000961 is about 3000.1601623913. The cubic root of 9000961 is about 208.0157855993.

The spelling of 9000961 in words is "nine million, nine hundred sixty-one", and thus it is an aban number.