813103597 has 2 divisors, whose sum is σ = 813103598. Its totient is φ = 813103596.

The previous prime is 813103589. The next prime is 813103637. The reversal of 813103597 is 795301318.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 479347236 + 333756361 = 21894^2 + 18269^2 .

It is a cyclic number.

It is not a de Polignac number, because 813103597 - 2³ = 813103589 is a prime.

It is a super-2 number, since 2×813103597² = 1322274918908676818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813103097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406551798 + 406551799.

It is an arithmetic number, because the mean of its divisors is an integer number (406551799).

Almost surely, 2^813103597 is an apocalyptic number.

It is an amenable number.

813103597 is a deficient number, since it is larger than the sum of its proper divisors (1).

813103597 is an equidigital number, since it uses as much as digits as its factorization.

813103597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 813103597 is about 28514.9714536066. The cubic root of 813103597 is about 933.3588020119.

The spelling of 813103597 in words is "eight hundred thirteen million, one hundred three thousand, five hundred ninety-seven".