829632821 has 2 divisors, whose sum is σ = 829632822. Its totient is φ = 829632820.

The previous prime is 829632803. The next prime is 829632847. The reversal of 829632821 is 128236928.

829632821 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., 464402500 + 365230321 = 21550^2 + 19111^2 .

It is a cyclic number.

It is not a de Polignac number, because 829632821 - 2²² = 825438517 is a prime.

It is a Chen prime.

It is equal to p_42590588 and since 829632821 and 42590588 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829632851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414816410 + 414816411.

It is an arithmetic number, because the mean of its divisors is an integer number (414816411).

Almost surely, 2^829632821 is an apocalyptic number.

It is an amenable number.

829632821 is a deficient number, since it is larger than the sum of its proper divisors (1).

829632821 is an equidigital number, since it uses as much as digits as its factorization.

829632821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The square root of 829632821 is about 28803.3473922737. The cubic root of 829632821 is about 939.6410357908.

The spelling of 829632821 in words is "eight hundred twenty-nine million, six hundred thirty-two thousand, eight hundred twenty-one".