822112 has 24 divisors (see below), whose sum is σ = 1690416. Its totient is φ = 392832.

The previous prime is 822079. The next prime is 822113. The reversal of 822112 is 211228.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822113) by changing a digit.

822112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (70434).

2⁸²²¹¹² 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 822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845208).

822112 is an abundant number, since it is smaller than the sum of its proper divisors (868304).

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

822112 is a wasteful number, since it uses less digits than its factorization.

822112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 822112 is about 906.7039208033. The cubic root of 822112 is about 93.6793055193.

The spelling of 822112 in words is "eight hundred twenty-two thousand, one hundred twelve".