5617 has 4 divisors (see below), whose sum is σ = 5796. Its totient is φ = 5440.

The previous prime is 5591. The next prime is 5623. The reversal of 5617 is 7165.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7165 = 5 ⋅1433.

It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 4096 = 39^2 + 64^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5617 is a prime.

It is a Duffinian number.

5617 is a lucky number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5594 and 5603.

It is not an unprimeable number, because it can be changed into a prime (5647) 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, 28 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (1449).

It is an amenable number.

5617 is a deficient number, since it is larger than the sum of its proper divisors (179).

5617 is a wasteful number, since it uses less digits than its factorization.

5617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its digits is 210, while the sum is 19.

The square root of 5617 is about 74.9466476902. The cubic root of 5617 is about 17.7760313678.

The spelling of 5617 in words is "five thousand, six hundred seventeen".