322821 has 6 divisors (see below), whose sum is σ = 466310. Its totient is φ = 215208.

The previous prime is 322807. The next prime is 322849. The reversal of 322821 is 128223.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 8100 = 561^2 + 90^2 .

It is not a de Polignac number, because 322821 - 2⁶ = 322757 is a prime.

It is a Duffinian number.

322821 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 322794 and 322803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 322821.

It is not an unprimeable number, because it can be changed into a prime (322871) 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, 17926 + ... + 17943.

2³²²⁸²¹ is an apocalyptic number.

It is an amenable number.

322821 is a deficient number, since it is larger than the sum of its proper divisors (143489).

322821 is a wasteful number, since it uses less digits than its factorization.

322821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35875 (or 35872 counting only the distinct ones).

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

The square root of 322821 is about 568.1733890284. The cubic root of 322821 is about 68.5994435380.

It can be divided in two parts, 3228 and 21, that added together give a square (3249 = 57²).

The spelling of 322821 in words is "three hundred twenty-two thousand, eight hundred twenty-one".