310913 has 4 divisors (see below), whose sum is σ = 329220. Its totient is φ = 292608.

The previous prime is 310901. The next prime is 310927. The reversal of 310913 is 319013.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 319013 = 59 ⋅5407.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 27889 = 532^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 310913 - 2¹⁴ = 294529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 18289 = 310913 / (3 + 1 + 0 + 9 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310891 and 310900.

It is not an unprimeable number, because it can be changed into a prime (310313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9128 + ... + 9161.

It is an arithmetic number, because the mean of its divisors is an integer number (82305).

2³¹⁰⁹¹³ is an apocalyptic number.

It is an amenable number.

310913 is a deficient number, since it is larger than the sum of its proper divisors (18307).

310913 is a wasteful number, since it uses less digits than its factorization.

310913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18306.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 310913 is about 557.5957316910. The cubic root of 310913 is about 67.7453712519.

Adding to 310913 its reverse (319013), we get a palindrome (629926).

Subtracting 310913 from its reverse (319013), we obtain a square (8100 = 90²).

The spelling of 310913 in words is "three hundred ten thousand, nine hundred thirteen".