813686329 has 2 divisors, whose sum is σ = 813686330. Its totient is φ = 813686328.

The previous prime is 813686311. The next prime is 813686339. The reversal of 813686329 is 923686318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 562780729 + 250905600 = 23723^2 + 15840^2 .

It is a cyclic number.

It is not a de Polignac number, because 813686329 - 2⁷ = 813686201 is a prime.

It is not a weakly prime, because it can be changed into another prime (813686309) 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, 406843164 + 406843165.

It is an arithmetic number, because the mean of its divisors is an integer number (406843165).

Almost surely, 2^813686329 is an apocalyptic number.

It is an amenable number.

813686329 is a deficient number, since it is larger than the sum of its proper divisors (1).

813686329 is an equidigital number, since it uses as much as digits as its factorization.

813686329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 46.

The square root of 813686329 is about 28525.1876242734. The cubic root of 813686329 is about 933.5817207815.

The spelling of 813686329 in words is "eight hundred thirteen million, six hundred eighty-six thousand, three hundred twenty-nine".