829422 has 48 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 243600.

The previous prime is 829399. The next prime is 829453. The reversal of 829422 is 224928.

It is a congruent number.

It is an unprimeable number.

829422 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11647 + ... + 11717.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁸²⁹⁴²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

829422 is an abundant number, since it is smaller than the sum of its proper divisors (1192338).

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

829422 is a wasteful number, since it uses less digits than its factorization.

829422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 829422 is about 910.7260839572. The cubic root of 829422 is about 93.9561437186.

It can be divided in two parts, 82942 and 2, that added together give a square (82944 = 288²).

The spelling of 829422 in words is "eight hundred twenty-nine thousand, four hundred twenty-two".