829047073 has 2 divisors, whose sum is σ = 829047074. Its totient is φ = 829047072.

The previous prime is 829047067. The next prime is 829047119. The reversal of 829047073 is 370740928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710062609 + 118984464 = 26647^2 + 10908^2 .

It is a cyclic number.

It is not a de Polignac number, because 829047073 - 2¹⁷ = 828916001 is a prime.

It is not a weakly prime, because it can be changed into another prime (829042073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414523536 + 414523537.

It is an arithmetic number, because the mean of its divisors is an integer number (414523537).

Almost surely, 2^829047073 is an apocalyptic number.

It is an amenable number.

829047073 is a deficient number, since it is larger than the sum of its proper divisors (1).

829047073 is an equidigital number, since it uses as much as digits as its factorization.

829047073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 829047073 is about 28793.1775426055. The cubic root of 829047073 is about 939.4198445899.

The spelling of 829047073 in words is "eight hundred twenty-nine million, forty-seven thousand, seventy-three".