2617 has 2 divisors, whose sum is σ = 2618. Its totient is φ = 2616.

The previous prime is 2609. The next prime is 2621. The reversal of 2617 is 7162.

2617 is nontrivially palindromic in base 14.

2617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 16 = 51^2 + 4^2 .

2617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2617 - 2^{3} = 2609 is a prime.

2617 is an undulating number in base 14.

It is a nialpdrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2617.

It is not a weakly prime, because it can be changed into another prime (2647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1308 + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (1309).

It is an amenable number.

2617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2617 is an equidigital number, since it uses as much as digits as its factorization.

2617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 16.

The square root of 2617 is about 51.1566222497. The cubic root of 2617 is about 13.7805930386.

Subtracting from 2617 its sum of digits (16), we obtain a square (2601 = 51^{2}).

Adding to 2617 its product of digits (84), we get a triangular number (2701 = T_{73}).

Adding to 2617 its reverse (7162), we get a palindrome (9779).

The spelling of 2617 in words is "two thousand, six hundred seventeen".

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