313321973 has 2 divisors, whose sum is σ = 313321974. Its totient is φ = 313321972.

The previous prime is 313321961. The next prime is 313321997. The reversal of 313321973 is 379123313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224340484 + 88981489 = 14978^2 + 9433^2 .

It is an emirp because it is prime and its reverse (379123313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313321973 - 2⁶ = 313321909 is a prime.

It is a super-2 number, since 2×313321973² = 196341317529225458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313321273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156660986 + 156660987.

It is an arithmetic number, because the mean of its divisors is an integer number (156660987).

Almost surely, 2^313321973 is an apocalyptic number.

It is an amenable number.

313321973 is a deficient number, since it is larger than the sum of its proper divisors (1).

313321973 is an equidigital number, since it uses as much as digits as its factorization.

313321973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 32.

The square root of 313321973 is about 17700.9031690476. The cubic root of 313321973 is about 679.1988640454.

The spelling of 313321973 in words is "three hundred thirteen million, three hundred twenty-one thousand, nine hundred seventy-three".