829932 has 48 divisors (see below), whose sum is σ = 2107392. Its totient is φ = 253440.

The previous prime is 829883. The next prime is 829949. The reversal of 829932 is 239928.

It is a junction number, because it is equal to n+sod(n) for n = 829893 and 829902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8508 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (43904).

2⁸²⁹⁹³² is an apocalyptic number.

829932 is the 744-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053696).

829932 is an abundant number, since it is smaller than the sum of its proper divisors (1277460).

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

829932 is a wasteful number, since it uses less digits than its factorization.

829932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 829932 is about 911.0060373016. The cubic root of 829932 is about 93.9753972130.

The spelling of 829932 in words is "eight hundred twenty-nine thousand, nine hundred thirty-two".