829332 has 48 divisors (see below), whose sum is σ = 2459520. Its totient is φ = 236736.

The previous prime is 829319. The next prime is 829349. The reversal of 829332 is 233928.

829332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 829296 and 829305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829332.

It is an unprimeable number.

829332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

2⁸²⁹³³² 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 829332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229760).

829332 is an abundant number, since it is smaller than the sum of its proper divisors (1630188).

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

829332 is a wasteful number, since it uses less digits than its factorization.

829332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1109 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 829332 is about 910.6766714921. The cubic root of 829332 is about 93.9527452239.

The spelling of 829332 in words is "eight hundred twenty-nine thousand, three hundred thirty-two".