829399221 has 12 divisors (see below), whose sum is σ = 1369167072. Its totient is φ = 473942376.

The previous prime is 829399211. The next prime is 829399223. The reversal of 829399221 is 122993928.

It is a happy number.

It is not a de Polignac number, because 829399221 - 2⁹ = 829398709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829399223) 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, 6582471 + ... + 6582596.

It is an arithmetic number, because the mean of its divisors is an integer number (114097256).

Almost surely, 2^829399221 is an apocalyptic number.

It is an amenable number.

829399221 is a deficient number, since it is larger than the sum of its proper divisors (539767851).

829399221 is a wasteful number, since it uses less digits than its factorization.

829399221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165080 (or 13165077 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 829399221 is about 28799.2920225481. The cubic root of 829399221 is about 939.5528358285.

The spelling of 829399221 in words is "eight hundred twenty-nine million, three hundred ninety-nine thousand, two hundred twenty-one".