829221232 has 80 divisors (see below), whose sum is σ = 1905147904. Its totient is φ = 342144000.

The previous prime is 829221193. The next prime is 829221271. The reversal of 829221232 is 232122928.

829221232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (829221193) and next prime (829221271).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 829221194 and 829221203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836257 + ... + 837247.

Almost surely, 2^829221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952573952).

829221232 is an abundant number, since it is smaller than the sum of its proper divisors (1075926672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829221232 is a wasteful number, since it uses less digits than its factorization.

829221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1272 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 829221232 is about 28796.2016939735. The cubic root of 829221232 is about 939.4856217015.

The spelling of 829221232 in words is "eight hundred twenty-nine million, two hundred twenty-one thousand, two hundred thirty-two".