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September 25, 2025 (9/25/2025) is likely the last “Perfect Square Day” of a lifetime for most people who are alive in the world today, according to those who study number and date patterns.
Perfect Square Days happen when each number of a given date represents, mathematically speaking, a perfect square.
Today’s date contains numbers that are all perfect squares. For example, September is the ninth month of the year, and 9 is the perfect square of 3. Today's date of 25 is the perfect square of 5. The year 2025 is the perfect square of 45.
According to ChatGPT (citing to stuartschool.org), the next Perfect Square Day after 9/25/2025 will not be until 1/1/2116. That’s 91 years away from the present day.
It is the year as a perfect square which determines the next batch of perfect square days. For example, after 2025, the next square year is 2116, because 46 x 46 = 2116.
During 2116, as in any year, the months of January, April, and September are all perfect square months, as the first month (1 x 1 = 1), fourth month (2 x 2 = 4) and ninth month of the year (3 x 3 = 9). And in any month, the dates of 1, 4, 16, and 25 are all dates representing perfect squares. So the next perfect square day depends on the year, more so than month or date.
After 2116 (46 x 46), the next perfect square year will be 93 years later, in year 2209 (47 x 47).
So, enjoy today as a special day. Happy Perfect Square Day!
Editor's note: The analysis for this article was generated with the help of ChatGPT, with article text authored by a person. Westwood Minute will always let you know when a Westwood Minute staff article draws on artificial intelligence for help in substantive content. If you don’t see any disclaimer, the content is 100% authored and analyzed by a real human being. Please note that this disclaimer excludes community member (non-staff) contributions to the platform.
Updated 9/28/2025 at 10:21 p.m. A reference to dates in a "year" is clarified by changing the reference instead to dates in a "month."
