829406713 has 2 divisors, whose sum is σ = 829406714. Its totient is φ = 829406712.

The previous prime is 829406707. The next prime is 829406771. The reversal of 829406713 is 317604928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 4108729 = 28728^2 + 2027^2 .

It is a cyclic number.

It is not a de Polignac number, because 829406713 - 2⁵ = 829406681 is a prime.

It is equal to p_42579634 and since 829406713 and 42579634 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (829406783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414703356 + 414703357.

It is an arithmetic number, because the mean of its divisors is an integer number (414703357).

Almost surely, 2^829406713 is an apocalyptic number.

It is an amenable number.

829406713 is a deficient number, since it is larger than the sum of its proper divisors (1).

829406713 is an equidigital number, since it uses as much as digits as its factorization.

829406713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 829406713 is about 28799.4220948963. The cubic root of 829406713 is about 939.5556648274. Note that the first 3 decimals are identical.

The spelling of 829406713 in words is "eight hundred twenty-nine million, four hundred six thousand, seven hundred thirteen".