42822 has 32 divisors (see below), whose sum is σ = 104160. Its totient is φ = 12960.

The previous prime is 42821. The next prime is 42829. The reversal of 42822 is 22824.

42822 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 42795 and 42804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42821) 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, 672 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁴²⁸²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

42822 is an abundant number, since it is smaller than the sum of its proper divisors (61338).

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

42822 is a wasteful number, since it uses less digits than its factorization.

42822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 42822 is about 206.9347723318. The cubic root of 42822 is about 34.9855722847.

The spelling of 42822 in words is "forty-two thousand, eight hundred twenty-two".