27743 is a member of OEIS A278869: Sophie Germain primes p such that p+6 and p-6 are primes.
Initial members are:
11, 23, 53, 173, 233, 593, 653, 1103, 1223, 2693, 2903, 2963, 4793, 5303, 6263, 6323, 7823, 9473, 10253, 11783, 12653, 13463, 15803, 20753, 25673, 27743, 27773, 29873, 31253, 33623, 38183, 38453, 39233
27743 is a katadrome in base 13 : c821.
27743 has a SOD (23) and SOD squared (127) that are both prime.
27743 is a member of OEIS A333803: primes p such that 2*p+1 and 4*p^2+1 are also prime.
Initial members are:
2, 3, 5, 233, 653, 683, 1013, 1973, 2003, 2393, 2543, 2753, 3023, 3413, 5003, 5333, 7043, 7823, 8663, 9293, 10613, 13463, 13913, 14783, 15233, 15923, 16823, 18233, 20693, 20753, 21713, 21803, 22433, 27743, 27983, 29723, 30323, 30773, 31253, 31793, 32003, 33053, 33623, 33773, 34283, 36083, 37013
27743 is a number whose arithmetic (5) and multiplicative (8) digital roots are not digits of then number itself but whose arithmetic root is equal to the number of digits (5) in the number.
27743 can be rendered as a digit equation as follows:
2 - 7 / 7 = 4 - 3