829797209 has 2 divisors, whose sum is σ = 829797210. Its totient is φ = 829797208.

The previous prime is 829797193. The next prime is 829797233. The reversal of 829797209 is 902797928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 772840000 + 56957209 = 27800^2 + 7547^2 .

It is a cyclic number.

It is not a de Polignac number, because 829797209 - 2⁴ = 829797193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (829797239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414898604 + 414898605.

It is an arithmetic number, because the mean of its divisors is an integer number (414898605).

Almost surely, 2^829797209 is an apocalyptic number.

It is an amenable number.

829797209 is a deficient number, since it is larger than the sum of its proper divisors (1).

829797209 is an equidigital number, since it uses as much as digits as its factorization.

829797209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 53.

The square root of 829797209 is about 28806.2008775888. The cubic root of 829797209 is about 939.7030935693.

The spelling of 829797209 in words is "eight hundred twenty-nine million, seven hundred ninety-seven thousand, two hundred nine".