321313221 has 12 divisors (see below), whose sum is σ = 464838348. Its totient is φ = 213876864.

The previous prime is 321313207. The next prime is 321313241. The reversal of 321313221 is 122313123.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 263705121 = 7590^2 + 16239^2 .

It is not a de Polignac number, because 321313221 - 2⁷ = 321313093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321313194 and 321313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321313241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21460 + ... + 33213.

It is an arithmetic number, because the mean of its divisors is an integer number (38736529).

Almost surely, 2^321313221 is an apocalyptic number.

It is an amenable number.

321313221 is a deficient number, since it is larger than the sum of its proper divisors (143525127).

321313221 is a wasteful number, since it uses less digits than its factorization.

321313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55332 (or 55329 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 321313221 is about 17925.2118815929. The cubic root of 321313221 is about 684.9247584609.

Adding to 321313221 its reverse (122313123), we get a palindrome (443626344).

The spelling of 321313221 in words is "three hundred twenty-one million, three hundred thirteen thousand, two hundred twenty-one".