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Saturday 31 December

Today is 365 and last day of the year.
365 = 5 x 73
365, like 362, is a happy number.
(5^2 + 73^2) / 2 = 2677 which is prime, i.e. the mean of the squares of the prime factors is a prime.
365 = 13^2+14^2 = 10^2+11^2+12^2, i.e. 365 is the sum of both two and three consecutive squares.
365 is palindromic in base 2 (1, 0, 1, 1, 0, 1, 1, 0, 1), base 8 (5, 5, 5), base 14 (1, 12, 1) and base 72 (5, 5).
365 is a member of the following primitive, Pythagorean triples;
(27, 364, 365), (76, 357, 365), (365, 2652, 2677) and (365, 66612, 66613).
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