313381 has 2 divisors, whose sum is σ = 313382. Its totient is φ = 313380.

The previous prime is 313373. The next prime is 313387. The reversal of 313381 is 183313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312481 + 900 = 559^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 313381 - 2³ = 313373 is a prime.

It is a super-2 number, since 2×313381² = 196415302322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156690 + 156691.

It is an arithmetic number, because the mean of its divisors is an integer number (156691).

2³¹³³⁸¹ is an apocalyptic number.

It is an amenable number.

313381 is a deficient number, since it is larger than the sum of its proper divisors (1).

313381 is an equidigital number, since it uses as much as digits as its factorization.

313381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 313381 is about 559.8044301361. The cubic root of 313381 is about 67.9241512990.

Adding to 313381 its reverse (183313), we get a palindrome (496694).

The spelling of 313381 in words is "three hundred thirteen thousand, three hundred eighty-one".