829042713 has 24 divisors (see below), whose sum is σ = 1262083680. Its totient is φ = 522961920.

The previous prime is 829042681. The next prime is 829042727. The reversal of 829042713 is 317240928.

It is not a de Polignac number, because 829042713 - 2⁵ = 829042681 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163545 + ... + 168537.

It is an arithmetic number, because the mean of its divisors is an integer number (52586820).

Almost surely, 2^829042713 is an apocalyptic number.

It is an amenable number.

829042713 is a deficient number, since it is larger than the sum of its proper divisors (433040967).

829042713 is a wasteful number, since it uses less digits than its factorization.

829042713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 829042713 is about 28793.1018301259. The cubic root of 829042713 is about 939.4181977683.

The spelling of 829042713 in words is "eight hundred twenty-nine million, forty-two thousand, seven hundred thirteen".