27386 is a product of 2 and a 4k+1 prime and thus it can be expressed as a sum of two squares in one way only viz. 119^2 + 115^2.

27386 is a semiprime that marks the end of a run of almost five consecutive semiprimes with only one non-semiprime (27384) intervening. The initial members of this sequence are:

146, 206, 218, 219, 303, 699, 1142, 1766, 3903, 4538, 6002, 7118, 7863, 9939, 11762, 14258, 16442, 20019, 20283, 22238, 27386, 27519, 27663, 32138, 34418, 35198, 36123, 38163, 38942, 39687

See blog post titled Semiprime Runs.

27386 is a d-powerful number because it can be written as 2^11 + 7^5 + 3^5 + 8^3 + 6^5.

27386 is a Curzon number because 2*27386 + 1 divides 2^27386+1.

27386 can be made into a digit equation via:

-2 + 7 = 3 + 8 - 6

27386 stabilises after almost 260 generations of Conway's Game of Life rules to a single glider, three blinkers and an assortment of still lifes.