313585889 has 2 divisors, whose sum is σ = 313585890. Its totient is φ = 313585888.

The previous prime is 313585873. The next prime is 313585891. The reversal of 313585889 is 988585313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261630625 + 51955264 = 16175^2 + 7208^2 .

It is an emirp because it is prime and its reverse (988585313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313585889 - 2⁴ = 313585873 is a prime.

It is a super-2 number, since 2×313585889² = 196672219559840642, which contains 22 as substring.

Together with 313585891, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313585829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156792944 + 156792945.

It is an arithmetic number, because the mean of its divisors is an integer number (156792945).

Almost surely, 2^313585889 is an apocalyptic number.

It is an amenable number.

313585889 is a deficient number, since it is larger than the sum of its proper divisors (1).

313585889 is an equidigital number, since it uses as much as digits as its factorization.

313585889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 50.

The square root of 313585889 is about 17708.3564737104. The cubic root of 313585889 is about 679.3895104705.

The spelling of 313585889 in words is "three hundred thirteen million, five hundred eighty-five thousand, eight hundred eighty-nine".