829122 has 32 divisors (see below), whose sum is σ = 1996800. Its totient is φ = 224208.

The previous prime is 829121. The next prime is 829123. The reversal of 829122 is 221928.

It is an interprime number because it is at equal distance from previous prime (829121) and next prime (829123).

It is a junction number, because it is equal to n+sod(n) for n = 829092 and 829101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829122.

It is not an unprimeable number, because it can be changed into a prime (829121) 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, 279 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (62400).

2⁸²⁹¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998400).

829122 is an abundant number, since it is smaller than the sum of its proper divisors (1167678).

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

829122 is a wasteful number, since it uses less digits than its factorization.

829122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070.

The product of its digits is 576, while the sum is 24.

The square root of 829122 is about 910.5613653126. The cubic root of 829122 is about 93.9448144467.

The spelling of 829122 in words is "eight hundred twenty-nine thousand, one hundred twenty-two".