5613 has 4 divisors (see below), whose sum is σ = 7488. Its totient is φ = 3740.

The previous prime is 5591. The next prime is 5623. The reversal of 5613 is 3165.

Added to its reverse (3165) it gives a triangular number (8778 = T₁₃₂).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 5613 - 2⁵ = 5581 is a prime.

It is a D-number.

5613 is a lucky number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 5592 and 5601.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5613.

It is not an unprimeable number, because it can be changed into a prime (5623) 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, 933 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

It is an amenable number.

5613 is a deficient number, since it is larger than the sum of its proper divisors (1875).

5613 is a wasteful number, since it uses less digits than its factorization.

5613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874.

The product of its digits is 90, while the sum is 15.

The square root of 5613 is about 74.9199572878. The cubic root of 5613 is about 17.7718107868.

Adding to 5613 its reverse (3165), we get a palindrome (8778).

The spelling of 5613 in words is "five thousand, six hundred thirteen".