829973709 has 20 divisors (see below), whose sum is σ = 1260858720. Its totient is φ = 543934440.

The previous prime is 829973681. The next prime is 829973743. The reversal of 829973709 is 907379928.

829973709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829973709 - 2⁸ = 829973453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829973759) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82057 + ... + 91614.

It is an arithmetic number, because the mean of its divisors is an integer number (63042936).

Almost surely, 2^829973709 is an apocalyptic number.

It is an amenable number.

829973709 is a deficient number, since it is larger than the sum of its proper divisors (430885011).

829973709 is a wasteful number, since it uses less digits than its factorization.

829973709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173742 (or 173733 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 829973709 is about 28809.2642911963. The cubic root of 829973709 is about 939.7697146008.

The spelling of 829973709 in words is "eight hundred twenty-nine million, nine hundred seventy-three thousand, seven hundred nine".