3617 has 2 divisors, whose sum is σ = 3618. Its totient is φ = 3616.

The previous prime is 3613. The next prime is 3623. The reversal of 3617 is 7163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 1681 = 44^2 + 41^2 .

3617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3617 - 2² = 3613 is a prime.

It is a plaindrome in base 7, base 11 and base 15.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3595 and 3604.

It is not a weakly prime, because it can be changed into another prime (3613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1808 + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (1809).

2³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

3617 is a deficient number, since it is larger than the sum of its proper divisors (1).

3617 is an equidigital number, since it uses as much as digits as its factorization.

3617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 3617 is about 60.1414998150. The cubic root of 3617 is about 15.3502753295.

Subtracting from 3617 its sum of digits (17), we obtain a square (3600 = 60²).

The spelling of 3617 in words is "three thousand, six hundred seventeen".