829308920929 has 2 divisors, whose sum is σ = 829308920930. Its totient is φ = 829308920928.

The previous prime is 829308920861. The next prime is 829308920939. The reversal of 829308920929 is 929029803928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467482610529 + 361826310400 = 683727^2 + 601520^2 .

It is a cyclic number.

It is not a de Polignac number, because 829308920929 - 2⁹ = 829308920417 is a prime.

It is not a weakly prime, because it can be changed into another prime (829308920939) 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, 414654460464 + 414654460465.

It is an arithmetic number, because the mean of its divisors is an integer number (414654460465).

Almost surely, 2^829308920929 is an apocalyptic number.

It is an amenable number.

829308920929 is a deficient number, since it is larger than the sum of its proper divisors (1).

829308920929 is an equidigital number, since it uses as much as digits as its factorization.

829308920929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 829308920929 in words is "eight hundred twenty-nine billion, three hundred eight million, nine hundred twenty thousand, nine hundred twenty-nine".