27617 has 2 divisors, whose sum is σ = 27618. Its totient is φ = 27616.

The previous prime is 27611. The next prime is 27631. The reversal of 27617 is 71672.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14161 + 13456 = 119^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 27617 - 2⁸ = 27361 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹³ + 7⁴ + 6³ + 1 + 7⁵ .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 27592 and 27601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27617.

It is not a weakly prime, because it can be changed into another prime (27611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13808 + 13809.

It is an arithmetic number, because the mean of its divisors is an integer number (13809).

2²⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

27617 is a deficient number, since it is larger than the sum of its proper divisors (1).

27617 is an equidigital number, since it uses as much as digits as its factorization.

27617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 23.

The square root of 27617 is about 166.1836333698. The cubic root of 27617 is about 30.2267995958.

The spelling of 27617 in words is "twenty-seven thousand, six hundred seventeen".