1837

1837 = 11 x 167.

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?

337

337 is a prime number.

337 is a centered dodecagonal number.

81³ + 162³ = 9⁷.

337 has a representation as a sum of two squares: 337 = 9² + 16².

337 is the hypotenuse of a primitive Pythagorean triple: 337² = 175² + 288².

337 is a divisor of 8⁷ - 1.

Source: Prime Curios!

541

541 is a prime number. It is the 100th prime.

541 is a centered dodecagonal number. It is the 10th hexagonal star number.

5! + 4! + 1 = 145, the reverse of 541. 541 is the only odd number greater than 1 with this property.

541 is the number of orderings of five objects with ties allowed.

541 has a representation as a sum of two squares: 541 = 10² + 21².

541 is the hypotenuse of a primitive Pythagorean triple: 541² = 341² + 420².

541 has the representation 541 = 2⁹ + 29.

Source: Number Gossip

793

793 = 13 x 61.

793 is one less than twice its reversal: 793 = 2(397) - 1.

793 is a dodecagonal number and a centered dodecagonal number (A003154).

793 has two representations as a sum of two squares: 793 = 3² + 28² = 8² + 27².

793 is the hypotenuse of two primitive Pythagorean triples: 793² = 168² + 775² = 432² + 665².

Source: What's Special About This Number?