804400013 has 2 divisors, whose sum is σ = 804400014. Its totient is φ = 804400012.

The previous prime is 804400007. The next prime is 804400039. The reversal of 804400013 is 310004408.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784168009 + 20232004 = 28003^2 + 4498^2 .

It is a cyclic number.

It is not a de Polignac number, because 804400013 - 2¹⁸ = 804137869 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (804400043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 402200006 + 402200007.

It is an arithmetic number, because the mean of its divisors is an integer number (402200007).

Almost surely, 2^804400013 is an apocalyptic number.

It is an amenable number.

804400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

804400013 is an equidigital number, since it uses as much as digits as its factorization.

804400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 804400013 is about 28361.9465657772. The cubic root of 804400013 is about 930.0165769582.

The spelling of 804400013 in words is "eight hundred four million, four hundred thousand, thirteen".