829872 has 80 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 258048.

The previous prime is 829867. The next prime is 829877. The reversal of 829872 is 278928.

It is an interprime number because it is at equal distance from previous prime (829867) and next prime (829877).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (829877) 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, 7288 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁸²⁹⁸⁷² 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 829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

829872 is an abundant number, since it is smaller than the sum of its proper divisors (1714608).

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

829872 is a wasteful number, since it uses less digits than its factorization.

829872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 829872 is about 910.9731060794. The cubic root of 829872 is about 93.9731325054.

The spelling of 829872 in words is "eight hundred twenty-nine thousand, eight hundred seventy-two".