822321 has 6 divisors (see below), whose sum is σ = 1187810. Its totient is φ = 548208.

The previous prime is 822317. The next prime is 822323. The reversal of 822321 is 123228.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 12321 = 900^2 + 111^2 .

It is not a de Polignac number, because 822321 - 2² = 822317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 822294 and 822303.

It is not an unprimeable number, because it can be changed into a prime (822323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45676 + ... + 45693.

2⁸²²³²¹ is an apocalyptic number.

It is an amenable number.

822321 is a deficient number, since it is larger than the sum of its proper divisors (365489).

822321 is a wasteful number, since it uses less digits than its factorization.

822321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91375 (or 91372 counting only the distinct ones).

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

The square root of 822321 is about 906.8191660965. The cubic root of 822321 is about 93.6872433331.

Adding to 822321 its reverse (123228), we get a palindrome (945549).

The spelling of 822321 in words is "eight hundred twenty-two thousand, three hundred twenty-one".