829817969 has 2 divisors, whose sum is σ = 829817970. Its totient is φ = 829817968.

The previous prime is 829817959. The next prime is 829818001. The reversal of 829817969 is 969718928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 802985569 + 26832400 = 28337^2 + 5180^2 .

It is a cyclic number.

It is not a de Polignac number, because 829817969 - 2¹⁶ = 829752433 is a prime.

It is a super-2 number, since 2×829817969² = 1377195723350569922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (829817929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414908984 + 414908985.

It is an arithmetic number, because the mean of its divisors is an integer number (414908985).

Almost surely, 2^829817969 is an apocalyptic number.

It is an amenable number.

829817969 is a deficient number, since it is larger than the sum of its proper divisors (1).

829817969 is an equidigital number, since it uses as much as digits as its factorization.

829817969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3919104, while the sum is 59.

The square root of 829817969 is about 28806.5612144178. The cubic root of 829817969 is about 939.7109300516.

The spelling of 829817969 in words is "eight hundred twenty-nine million, eight hundred seventeen thousand, nine hundred sixty-nine".