267

Number
$267$ (two hundred and sixty-seven) is:


 * $3 \times 89$


 * The $50$th lucky number:
 * $1$, $3$, $7$, $9$, $13$, $15$, $21$, $\ldots$, $219$, $223$, $231$, $235$, $237$, $241$, $259$, $261$, $267$, $\ldots$


 * The $1$st term of the smallest triplet of integers in arithmetic sequence which have the same divisor sum:
 * $\map {\sigma_1} {267} = \map {\sigma_1} {295} = \map {\sigma_1} {323} = 360$


 * The length of the longest face diagonal 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