313583 has 2 divisors, whose sum is σ = 313584. Its totient is φ = 313582.

The previous prime is 313571. The next prime is 313589. The reversal of 313583 is 385313.

Added to its reverse (385313) it gives a square (698896 = 836²).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313583 - 2⁴ = 313567 is a prime.

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 313583.

It is not a weakly prime, because it can be changed into another prime (313589) 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, 156791 + 156792.

It is an arithmetic number, because the mean of its divisors is an integer number (156792).

2³¹³⁵⁸³ is an apocalyptic number.

313583 is a deficient number, since it is larger than the sum of its proper divisors (1).

313583 is an equidigital number, since it uses as much as digits as its factorization.

313583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 23.

The square root of 313583 is about 559.9848212229. The cubic root of 313583 is about 67.9387424107.

Adding to 313583 its reverse (385313), we get a palindrome (698896).

The spelling of 313583 in words is "three hundred thirteen thousand, five hundred eighty-three".