829318921 has 2 divisors, whose sum is σ = 829318922. Its totient is φ = 829318920.

The previous prime is 829318823. The next prime is 829318961. The reversal of 829318921 is 129813928.

829318921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 814303296 + 15015625 = 28536^2 + 3875^2 .

It is a cyclic number.

It is not a de Polignac number, because 829318921 - 2¹⁵ = 829286153 is a prime.

It is not a weakly prime, because it can be changed into another prime (829318961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414659460 + 414659461.

It is an arithmetic number, because the mean of its divisors is an integer number (414659461).

Almost surely, 2^829318921 is an apocalyptic number.

It is an amenable number.

829318921 is a deficient number, since it is larger than the sum of its proper divisors (1).

829318921 is an equidigital number, since it uses as much as digits as its factorization.

829318921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 43.

The square root of 829318921 is about 28797.8978573090. The cubic root of 829318921 is about 939.5225132665.

The spelling of 829318921 in words is "eight hundred twenty-nine million, three hundred eighteen thousand, nine hundred twenty-one".