MATH PUZZLE number 3025 if torn apart between the 0 and 2 you get 30,25 sum = 55 ^2 = 3025 what other # share?

Notice the 4-digit 3025. If you tear apart 3025 between the 0 and 2 and take the two 2-digit numbers formed by this separation, an interesting oddity occurs. The sum of 30 and 25 is 55 and the square of 55 is the orginal number, 3025. Find all other 4-digit numbers that share this same oddity