1837 is a centered dodecagonal number (or a star number) (A003154).
1837 is a concentric hexagonal number (A032528).
1837 is a value of n for which 2n (3674) and 7n (12859) together use each of the digits 1 to 9 exactly once.
1837, 1838, and 1839 are consecutive semiprimes (A056809).
1837 is the number of intersections of diagonals in the interior of a regular 18-gon (A006561).
Source: What's Special About This Number?
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