813361 has 2 divisors, whose sum is σ = 813362. Its totient is φ = 813360.

The previous prime is 813343. The next prime is 813367. The reversal of 813361 is 163318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 616225 + 197136 = 785^2 + 444^2 .

It is a cyclic number.

It is not a de Polignac number, because 813361 - 2⁹ = 812849 is a prime.

It is a super-2 number, since 2×813361² = 1323112232642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406680 + 406681.

It is an arithmetic number, because the mean of its divisors is an integer number (406681).

2⁸¹³³⁶¹ is an apocalyptic number.

It is an amenable number.

813361 is a deficient number, since it is larger than the sum of its proper divisors (1).

813361 is an equidigital number, since it uses as much as digits as its factorization.

813361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 813361 is about 901.8652892755. The cubic root of 813361 is about 93.3457282291.

Adding to 813361 its reverse (163318), we get a palindrome (976679).

The spelling of 813361 in words is "eight hundred thirteen thousand, three hundred sixty-one".