313933 has 2 divisors, whose sum is σ = 313934. Its totient is φ = 313932.

The previous prime is 313931. The next prime is 313949. The reversal of 313933 is 339313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 100489 = 462^2 + 317^2 .

It is a cyclic number.

It is not a de Polignac number, because 313933 - 2¹ = 313931 is a prime.

Together with 313931, it forms a pair of twin primes.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313933.

It is not a weakly prime, because it can be changed into another prime (313931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156966 + 156967.

It is an arithmetic number, because the mean of its divisors is an integer number (156967).

2³¹³⁹³³ is an apocalyptic number.

It is an amenable number.

313933 is a deficient number, since it is larger than the sum of its proper divisors (1).

313933 is an equidigital number, since it uses as much as digits as its factorization.

313933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 22.

The square root of 313933 is about 560.2972425418. The cubic root of 313933 is about 67.9640092127.

The spelling of 313933 in words is "three hundred thirteen thousand, nine hundred thirty-three".