117

Number
$117$ (one hundred and seventeen) is:


 * $3^2 \times 13$


 * The $9$th pentagonal number after $1, 5, 12, 22, 35, 51, 70, 92$:
 * $117 = 1 + 4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 = \dfrac {9 \left({3 \times 9 - 1}\right)} 2$


 * The length of the $2$nd longest edge of the smallest cuboid whose edges and the diagonals of whose faces are all integers:
 * The lengths of the edges are $44, 117, 240$
 * The lengths of the diagonals of the faces are $125, 244, 267$.

Also see

 * Cuboid with Integer Edges and Face Diagonals