821322 has 24 divisors (see below), whose sum is σ = 1800864. Its totient is φ = 270504.

The previous prime is 821311. The next prime is 821329. The reversal of 821322 is 223128.

It is a happy number.

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 = 821295 and 821304.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

821322 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (75036).

2⁸²¹³²² is an apocalyptic number.

821322 is an abundant number, since it is smaller than the sum of its proper divisors (979542).

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

821322 is a wasteful number, since it uses less digits than its factorization.

821322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

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

The square root of 821322 is about 906.2681722316. The cubic root of 821322 is about 93.6492891836.

The spelling of 821322 in words is "eight hundred twenty-one thousand, three hundred twenty-two".