4813 has 2 divisors, whose sum is σ = 4814. Its totient is φ = 4812.

The previous prime is 4801. The next prime is 4817. The reversal of 4813 is 3184.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 324 = 67^2 + 18^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4813 is a prime.

4813 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4817) 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, 2406 + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (2407).

It is an amenable number.

4813 is a deficient number, since it is larger than the sum of its proper divisors (1).

4813 is an equidigital number, since it uses as much as digits as its factorization.

4813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 16.

The square root of 4813 is about 69.3757882838. The cubic root of 4813 is about 16.8838682239.

Adding to 4813 its reverse (3184), we get a palindrome (7997).

It can be divided in two parts, 481 and 3, that added together give a palindrome (484).

The spelling of 4813 in words is "four thousand, eight hundred thirteen".