813829 has 2 divisors, whose sum is σ = 813830. Its totient is φ = 813828.

The previous prime is 813817. The next prime is 813833. The reversal of 813829 is 928318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813604 + 225 = 902^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 813829 - 2⁵ = 813797 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 813829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406914 + 406915.

It is an arithmetic number, because the mean of its divisors is an integer number (406915).

2⁸¹³⁸²⁹ is an apocalyptic number.

It is an amenable number.

813829 is a deficient number, since it is larger than the sum of its proper divisors (1).

813829 is an equidigital number, since it uses as much as digits as its factorization.

813829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 31.

The square root of 813829 is about 902.1247142164. The cubic root of 813829 is about 93.3636282041.

The spelling of 813829 in words is "eight hundred thirteen thousand, eight hundred twenty-nine".