313597 has 2 divisors, whose sum is σ = 313598. Its totient is φ = 313596.

The previous prime is 313589. The next prime is 313603. The reversal of 313597 is 795313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219961 + 93636 = 469^2 + 306^2 .

It is a cyclic number.

It is not a de Polignac number, because 313597 - 2³ = 313589 is a prime.

313597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313507) 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, 156798 + 156799.

It is an arithmetic number, because the mean of its divisors is an integer number (156799).

2³¹³⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

313597 is a deficient number, since it is larger than the sum of its proper divisors (1).

313597 is an equidigital number, since it uses as much as digits as its factorization.

313597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835, while the sum is 28.

The square root of 313597 is about 559.9973214222. The cubic root of 313597 is about 67.9397534437.

The spelling of 313597 in words is "three hundred thirteen thousand, five hundred ninety-seven".