829268821 has 2 divisors, whose sum is σ = 829268822. Its totient is φ = 829268820.

The previous prime is 829268801. The next prime is 829268917. The reversal of 829268821 is 128862928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 751582225 + 77686596 = 27415^2 + 8814^2 .

It is a cyclic number.

It is not a de Polignac number, because 829268821 - 2¹¹ = 829266773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829268801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414634410 + 414634411.

It is an arithmetic number, because the mean of its divisors is an integer number (414634411).

Almost surely, 2^829268821 is an apocalyptic number.

It is an amenable number.

829268821 is a deficient number, since it is larger than the sum of its proper divisors (1).

829268821 is an equidigital number, since it uses as much as digits as its factorization.

829268821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 221184, while the sum is 46.

The square root of 829268821 is about 28797.0279890130. The cubic root of 829268821 is about 939.5035937152.

The spelling of 829268821 in words is "eight hundred twenty-nine million, two hundred sixty-eight thousand, eight hundred twenty-one".