6617 has 4 divisors (see below), whose sum is σ = 7140. Its totient is φ = 6096.

The previous prime is 6607. The next prime is 6619. The reversal of 6617 is 7166.

6617 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7166 = 2 ⋅3583.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 3481 = 56^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 6617 - 2⁶ = 6553 is a prime.

It is a Duffinian 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, 242 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1785).

2⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

6617 is a deficient number, since it is larger than the sum of its proper divisors (523).

6617 is a wasteful number, since it uses less digits than its factorization.

6617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522.

The product of its digits is 252, while the sum is 20.

The square root of 6617 is about 81.3449445264. The cubic root of 6617 is about 18.7738659057.

The spelling of 6617 in words is "six thousand, six hundred seventeen".