809304961 has 2 divisors, whose sum is σ = 809304962. Its totient is φ = 809304960.

The previous prime is 809304917. The next prime is 809304997. The reversal of 809304961 is 169403908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782264961 + 27040000 = 27969^2 + 5200^2 .

It is a cyclic number.

It is not a de Polignac number, because 809304961 - 2²³ = 800916353 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (809304901) 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, 404652480 + 404652481.

It is an arithmetic number, because the mean of its divisors is an integer number (404652481).

Almost surely, 2^809304961 is an apocalyptic number.

It is an amenable number.

809304961 is a deficient number, since it is larger than the sum of its proper divisors (1).

809304961 is an equidigital number, since it uses as much as digits as its factorization.

809304961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 809304961 is about 28448.2857304267. The cubic root of 809304961 is about 931.9030523071.

The spelling of 809304961 in words is "eight hundred nine million, three hundred four thousand, nine hundred sixty-one".