313321 has 2 divisors, whose sum is σ = 313322. Its totient is φ = 313320.

The previous prime is 313307. The next prime is 313331. The reversal of 313321 is 123313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168921 + 144400 = 411^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 313321 - 2⁵ = 313289 is a prime.

313321 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156660 + 156661.

It is an arithmetic number, because the mean of its divisors is an integer number (156661).

2³¹³³²¹ is an apocalyptic number.

It is an amenable number.

313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313321 is an equidigital number, since it uses as much as digits as its factorization.

313321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 313321 is about 559.7508374268. The cubic root of 313321 is about 67.9198160976.

Adding to 313321 its reverse (123313), we get a palindrome (436634).

The spelling of 313321 in words is "three hundred thirteen thousand, three hundred twenty-one".