311713 has 2 divisors, whose sum is σ = 311714. Its totient is φ = 311712.

The previous prime is 311711. The next prime is 311737. The reversal of 311713 is 317113.

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., 214369 + 97344 = 463^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 311713 - 2¹ = 311711 is a prime.

Together with 311711, it forms a pair of twin primes.

311713 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (311711) 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, 155856 + 155857.

It is an arithmetic number, because the mean of its divisors is an integer number (155857).

2³¹¹⁷¹³ is an apocalyptic number.

It is an amenable number.

311713 is a deficient number, since it is larger than the sum of its proper divisors (1).

311713 is an equidigital number, since it uses as much as digits as its factorization.

311713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63, while the sum is 16.

The square root of 311713 is about 558.3126364323. The cubic root of 311713 is about 67.8034259486.

Adding to 311713 its reverse (317113), we get a palindrome (628826).

It can be divided in two parts, 311 and 713, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 311713 in words is "three hundred eleven thousand, seven hundred thirteen".