822312 has 64 divisors (see below), whose sum is σ = 2361600. Its totient is φ = 268272.

The previous prime is 822299. The next prime is 822313. The reversal of 822312 is 213228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822312.

It is not an unprimeable number, because it can be changed into a prime (822313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473 + ... + 17519.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2⁸²²³¹² 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 822312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180800).

822312 is an abundant number, since it is smaller than the sum of its proper divisors (1539288).

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

822312 is an equidigital number, since it uses as much as digits as its factorization.

822312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 822312 is about 906.8142036823. The cubic root of 822312 is about 93.6869015411.

The spelling of 822312 in words is "eight hundred twenty-two thousand, three hundred twelve".