813797 has 2 divisors, whose sum is σ = 813798. Its totient is φ = 813796.

The previous prime is 813767. The next prime is 813811. The reversal of 813797 is 797318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 776161 + 37636 = 881^2 + 194^2 .

It is a cyclic number.

It is not a de Polignac number, because 813797 - 2⁸ = 813541 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813797.

It is not a weakly prime, because it can be changed into another prime (813707) 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, 406898 + 406899.

It is an arithmetic number, because the mean of its divisors is an integer number (406899).

2⁸¹³⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

813797 is a deficient number, since it is larger than the sum of its proper divisors (1).

813797 is an equidigital number, since it uses as much as digits as its factorization.

813797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 35.

The square root of 813797 is about 902.1069781351. The cubic root of 813797 is about 93.3624044928.

The spelling of 813797 in words is "eight hundred thirteen thousand, seven hundred ninety-seven".