813007997 has 2 divisors, whose sum is σ = 813007998. Its totient is φ = 813007996.

The previous prime is 813007981. The next prime is 813008047. The reversal of 813007997 is 799700318.

813007997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 786578116 + 26429881 = 28046^2 + 5141^2 .

It is a cyclic number.

It is not a de Polignac number, because 813007997 - 2⁴ = 813007981 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 (813007597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406503998 + 406503999.

It is an arithmetic number, because the mean of its divisors is an integer number (406503999).

Almost surely, 2^813007997 is an apocalyptic number.

It is an amenable number.

813007997 is a deficient number, since it is larger than the sum of its proper divisors (1).

813007997 is an equidigital number, since it uses as much as digits as its factorization.

813007997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 44.

The square root of 813007997 is about 28513.2950919391. The cubic root of 813007997 is about 933.3222209420.

The spelling of 813007997 in words is "eight hundred thirteen million, seven thousand, nine hundred ninety-seven".