829327023 has 24 divisors (see below), whose sum is σ = 1369804800. Its totient is φ = 473639184.

The previous prime is 829327019. The next prime is 829327027. The reversal of 829327023 is 320723928.

It is an interprime number because it is at equal distance from previous prime (829327019) and next prime (829327027).

It is not a de Polignac number, because 829327023 - 2² = 829327019 is a prime.

It is a super-2 number, since 2×829327023² = 1375566622156085058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829327027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209658 + ... + 213576.

It is an arithmetic number, because the mean of its divisors is an integer number (57075200).

Almost surely, 2^829327023 is an apocalyptic number.

829327023 is a deficient number, since it is larger than the sum of its proper divisors (540477777).

829327023 is a wasteful number, since it uses less digits than its factorization.

829327023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 829327023 is about 28798.0385269553. The cubic root of 829327023 is about 939.5255727999.

The spelling of 829327023 in words is "eight hundred twenty-nine million, three hundred twenty-seven thousand, twenty-three".