36,525
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1937 is categorized in the twentieth century.
In one century there are 36,524 days. However, years that can be divided by 100 but not 400 are not leap years. Therefore, one century out of four will actually have 36,525 days.
Using Julian calculations, I believe the answer is 36,525 days. In the Gregorian calendar, every 4th century has 36,525 days; the rest each have 36,524 days.
The year 1977, along with any year between 1901 and 2000, is in the twentieth century.
There are 36525 days in a century. Ignoring Leap Years: the average (mean) length of a year is 365.25 and there are one hundred years in a century.365.25 × 100 = 36525 days