813311 has 2 divisors, whose sum is σ = 813312. Its totient is φ = 813310.

The previous prime is 813301. The next prime is 813343. The reversal of 813311 is 113318.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813311 is a prime.

It is a super-2 number, since 2×813311² = 1322949565442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813311.

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 813311.

It is not a weakly prime, because it can be changed into another prime (813301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406655 + 406656.

It is an arithmetic number, because the mean of its divisors is an integer number (406656).

2⁸¹³³¹¹ is an apocalyptic number.

813311 is a deficient number, since it is larger than the sum of its proper divisors (1).

813311 is an equidigital number, since it uses as much as digits as its factorization.

813311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 17.

The square root of 813311 is about 901.8375685233. The cubic root of 813311 is about 93.3438154327.

Adding to 813311 its reverse (113318), we get a palindrome (926629).

The spelling of 813311 in words is "eight hundred thirteen thousand, three hundred eleven".