829797231 has 16 divisors (see below), whose sum is σ = 1124169984. Its totient is φ = 544364544.

The previous prime is 829797209. The next prime is 829797233. The reversal of 829797231 is 132797928.

It is not a de Polignac number, because 829797231 - 2⁹ = 829796719 is a prime.

It is a super-2 number, since 2×829797231² = 1377126889150534722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829797233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57510 + ... + 70476.

It is an arithmetic number, because the mean of its divisors is an integer number (70260624).

Almost surely, 2^829797231 is an apocalyptic number.

829797231 is a deficient number, since it is larger than the sum of its proper divisors (294372753).

829797231 is a wasteful number, since it uses less digits than its factorization.

829797231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310.

The product of its digits is 381024, while the sum is 48.

The square root of 829797231 is about 28806.2012594511. The cubic root of 829797231 is about 939.7031018739.

The spelling of 829797231 in words is "eight hundred twenty-nine million, seven hundred ninety-seven thousand, two hundred thirty-one".