617 has 2 divisors, whose sum is σ = 618. Its totient is φ = 616.

The previous prime is 613. The next prime is 619. The reversal of 617 is 716.

It is a happy number.

617 is nontrivially palindromic in base 15.

617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

617 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361 + 256 = 19^2 + 16^2 .

617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 617 - 2² = 613 is a prime.

Together with 619, it forms a pair of twin primes.

It is a Chen prime.

617 is an undulating number in base 15.

It is a plaindrome in base 16.

It is a nialpdrome in base 5, base 9, base 11 and base 14.

It is not a weakly prime, because it can be changed into another prime (613) 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, 308 + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (309).

It is an amenable number.

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

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

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

The product of its digits is 42, while the sum is 14.

The square root of 617 is about 24.8394846967. The cubic root of 617 is about 8.5132434844.

Subtracting from 617 its product of digits (42), we obtain a palindrome (575).

Subtracting 617 from its reverse (716), we obtain a palindrome (99).

The spelling of 617 in words is "six hundred seventeen", and thus it is an aban number and an oban number.