27425 is.a product of a 4k+1 prime raised to the second power and a 4k+1 prime, thus it can be expressed as a sum of two squares in three different ways viz. 23^2+164^2, 68^2+151^2 and 80^2+145^2.

27425 is the largest of three consecutive integers divisible respectively by three consecutive squares greater than 1 (see OEIS A178919).

27425 is a Duffinian and Curzon number.

27425 is a junction number because it is equal to n+sod(n) for n = 27397 and 27406.

27425 can be expressed as a digit equation as follows:

2 * 7 = 4 + 2 * 5

27425 stabilises after about 185 generations to a single glider, a single blinker and as a few still life shapes.