27689 has 2 divisors, whose sum is σ = 27690. Its totient is φ = 27688.

The previous prime is 27673. The next prime is 27691. The reversal of 27689 is 98672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17689 + 10000 = 133^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 27689 - 2⁴ = 27673 is a prime.

Together with 27691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (23689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13844 + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (13845).

2²⁷⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

27689 is a deficient number, since it is larger than the sum of its proper divisors (1).

27689 is an equidigital number, since it uses as much as digits as its factorization.

27689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 27689 is about 166.4001201923. The cubic root of 27689 is about 30.2530447952.

The spelling of 27689 in words is "twenty-seven thousand, six hundred eighty-nine".