829023 has 16 divisors (see below), whose sum is σ = 1233120. Its totient is φ = 491904.

The previous prime is 829013. The next prime is 829057. The reversal of 829023 is 320928.

It is not a de Polignac number, because 829023 - 2¹⁴ = 812639 is a prime.

829023 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828984 and 829002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (77070).

2⁸²⁹⁰²³ is an apocalyptic number.

829023 is a deficient number, since it is larger than the sum of its proper divisors (404097).

829023 is a wasteful number, since it uses less digits than its factorization.

829023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 829023 is about 910.5070016205. The cubic root of 829023 is about 93.9410751872.

The spelling of 829023 in words is "eight hundred twenty-nine thousand, twenty-three".