829733969 has 2 divisors, whose sum is σ = 829733970. Its totient is φ = 829733968.

The previous prime is 829733959. The next prime is 829733981. The reversal of 829733969 is 969337928.

829733969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 627753025 + 201980944 = 25055^2 + 14212^2 .

It is a cyclic number.

It is not a de Polignac number, because 829733969 - 2⁸ = 829733713 is a prime.

It is a super-2 number, since 2×829733969² = 1376916918624985922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (829733929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414866984 + 414866985.

It is an arithmetic number, because the mean of its divisors is an integer number (414866985).

Almost surely, 2^829733969 is an apocalyptic number.

It is an amenable number.

829733969 is a deficient number, since it is larger than the sum of its proper divisors (1).

829733969 is an equidigital number, since it uses as much as digits as its factorization.

829733969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4408992, while the sum is 56.

The square root of 829733969 is about 28805.1031763471. The cubic root of 829733969 is about 939.6792209360.

The spelling of 829733969 in words is "eight hundred twenty-nine million, seven hundred thirty-three thousand, nine hundred sixty-nine".