313993 has 2 divisors, whose sum is σ = 313994. Its totient is φ = 313992.

The previous prime is 313991. The next prime is 313997. The reversal of 313993 is 399313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 13689 = 548^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 313993 - 2¹ = 313991 is a prime.

Together with 313991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156996 + 156997.

It is an arithmetic number, because the mean of its divisors is an integer number (156997).

2³¹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

313993 is a deficient number, since it is larger than the sum of its proper divisors (1).

313993 is an equidigital number, since it uses as much as digits as its factorization.

313993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2187, while the sum is 28.

The square root of 313993 is about 560.3507829922. The cubic root of 313993 is about 67.9683387785.

The spelling of 313993 in words is "three hundred thirteen thousand, nine hundred ninety-three".