829722217 has 12 divisors (see below), whose sum is σ = 868944384. Its totient is φ = 792203720.

The previous prime is 829722211. The next prime is 829722287. The reversal of 829722217 is 712227928.

829722217 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 829722217 - 2³ = 829722209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 829722217.

It is not an unprimeable number, because it can be changed into a prime (829722211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391992 + ... + 394102.

It is an arithmetic number, because the mean of its divisors is an integer number (72412032).

Almost surely, 2^829722217 is an apocalyptic number.

It is an amenable number.

829722217 is a deficient number, since it is larger than the sum of its proper divisors (39222167).

829722217 is a wasteful number, since it uses less digits than its factorization.

829722217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2877 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 829722217 is about 28804.8991839930. The cubic root of 829722217 is about 939.6747845091.

The spelling of 829722217 in words is "eight hundred twenty-nine million, seven hundred twenty-two thousand, two hundred seventeen".