2313 has 6 divisors (see below), whose sum is σ = 3354. Its totient is φ = 1536.

The previous prime is 2311. The next prime is 2333. The reversal of 2313 is 3132.

It is a happy number.

2313 is nontrivially palindromic in base 2 and base 16.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 9 = 48^2 + 3^2 .

It is not a de Polignac number, because 2313 - 2¹ = 2311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 257 = 2313 / (2 + 3 + 1 + 3).

2313 is an undulating number in base 16.

It is a nialpdrome in base 8, base 14 and base 15.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2295 and 2304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (559).

It is an amenable number.

2313 is a deficient number, since it is larger than the sum of its proper divisors (1041).

2313 is a wasteful number, since it uses less digits than its factorization.

2313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 2313 is about 48.0936586256. The cubic root of 2313 is about 13.2248841892.

Adding to 2313 its reverse (3132), we get a palindrome (5445).

It can be divided in two parts, 23 and 13, that added together give a triangular number (36 = T₈).

The spelling of 2313 in words is "two thousand, three hundred thirteen".