831082224 has 160 divisors (see below), whose sum is σ = 2569867264. Its totient is φ = 226437120.

The previous prime is 831082223. The next prime is 831082243. The reversal of 831082224 is 422280138.

It is a junction number, because it is equal to n+sod(n) for n = 831082191 and 831082200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831082223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759822 + ... + 760914.

Almost surely, 2^831082224 is an apocalyptic number.

831082224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831082224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284933632).

831082224 is an abundant number, since it is smaller than the sum of its proper divisors (1738785040).

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

831082224 is a wasteful number, since it uses less digits than its factorization.

831082224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 831082224 is about 28828.4967350016. The cubic root of 831082224 is about 940.1879147479.

The spelling of 831082224 in words is "eight hundred thirty-one million, eighty-two thousand, two hundred twenty-four".