5813 has 2 divisors, whose sum is σ = 5814. Its totient is φ = 5812.

The previous prime is 5807. The next prime is 5821. The reversal of 5813 is 3185.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5329 + 484 = 73^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 5813 - 2⁶ = 5749 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5791 and 5800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2906 + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (2907).

2⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

5813 is a deficient number, since it is larger than the sum of its proper divisors (1).

5813 is an equidigital number, since it uses as much as digits as its factorization.

5813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 5813 is about 76.2430324685. The cubic root of 5813 is about 17.9804314087.

Adding to 5813 its reverse (3185), we get a palindrome (8998).

Subtracting from 5813 its reverse (3185), we obtain a triangular number (2628 = T₇₂).

It can be divided in two parts, 5 and 813, that added together give a palindrome (818).

The spelling of 5813 in words is "five thousand, eight hundred thirteen".