27389 is a product of two 4k+1 primes and so it can be expressed as a sum of two squares in two different ways viz. 58^2+155^2 and 85^2+142^2.

27389 is a number n without the digit 0 with two distinct prime factors such that n + SOD(n) and n + POD(n) both have two distinct prime factors. Here SOD stands for sum of digits and POD for product of digits.

Note that this is different to the arithmetic and multiplicative digital roots of a number. Here the results are 27418 = 2 * 13709 and 30413 = 17 * 1789. See record information for 27362. See blog post titled Conway's Game of Life Records.

27389 is a cyclic, Duffinian and Curzon number.

27389 can be converted to a digit equation as follows:

2 * 7 + 3 - 8 = 9

27389 stabilises, under Conway's Game of Life rules, after in 142 generations and leaves only two still life blocks.