829040033 has 2 divisors, whose sum is σ = 829040034. Its totient is φ = 829040032.

The previous prime is 829040029. The next prime is 829040057. The reversal of 829040033 is 330040928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 625350049 + 203689984 = 25007^2 + 14272^2 .

It is a cyclic number.

It is not a de Polignac number, because 829040033 - 2² = 829040029 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 829039978 and 829040005.

It is not a weakly prime, because it can be changed into another prime (829045033) 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, 414520016 + 414520017.

It is an arithmetic number, because the mean of its divisors is an integer number (414520017).

Almost surely, 2^829040033 is an apocalyptic number.

It is an amenable number.

829040033 is a deficient number, since it is larger than the sum of its proper divisors (1).

829040033 is an equidigital number, since it uses as much as digits as its factorization.

829040033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 829040033 is about 28793.0552911635. The cubic root of 829040033 is about 939.4171854990.

The spelling of 829040033 in words is "eight hundred twenty-nine million, forty thousand, thirty-three".