The year 2025 is a “perfect square year” because it’s the product of a number multiplied by itself – 45×45=2025, a phenomenon that hasn’t happened for decades.
The last perfect square year was 1936 (44 x 44), and the next one will be 2116 (46 x 46).
A perfect square date is defined as a full date number that is a perfect square. Note that perfect square dates are rare because they can only occur in years ending with double zeros, one, four, six, nine or 25. Additionally, if the year number ends with 00, the preceding digits of the perfect square date must be a square number; if it ends with one, the preceding (ten’s) digit of the perfect square date must be divisible by four; if it ends with four, the preceding digit must be an even number; if it ends with six, the preceding digit must be an odd number; if it ends with nine, the preceding digit must be divisible by four; and if it ends with 25, the preceding digits must be zero, two, six, or 56. Wow!
All this fun math ends up with:
912025 in Month, Day, Year format being a Perfect Square Date with a square root of 955.
and
1092025 in Day, Month, Year format being a Perfect Square Date with a square root of 1045.