6613 has 4 divisors (see below), whose sum is σ = 7020. Its totient is φ = 6208.

The previous prime is 6607. The next prime is 6619. The reversal of 6613 is 3166.

6613 = 57² + 58².

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3166 = 2 ⋅1583.

It is an interprime number because it is at equal distance from previous prime (6607) and next prime (6619).

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 3249 = 58^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 6613 - 2⁵ = 6581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6619) 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, 178 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2⁶⁶¹³ is an apocalyptic number.

6613 is the 58-th centered square number.

It is an amenable number.

6613 is a deficient number, since it is larger than the sum of its proper divisors (407).

6613 is a wasteful number, since it uses less digits than its factorization.

6613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

The product of its digits is 108, while the sum is 16.

The square root of 6613 is about 81.3203541556. The cubic root of 6613 is about 18.7700821870.

Adding to 6613 its reverse (3166), we get a palindrome (9779).

It can be divided in two parts, 66 and 13, that multiplied together give a palindrome (858).

The spelling of 6613 in words is "six thousand, six hundred thirteen".