249

Number
$249$ (two hundred and forty-nine) is:


 * $3 \times 83$


 * The $14$th trimorphic number after $1$, $4$, $5$, $6$, $9$, $24$, $25$, $49$, $51$, $75$, $76$, $99$, $125$:
 * $249^3 = 15 \, 438 \, \mathbf {249}$


 * The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$) of the $9$th Woodall prime:
 * $249 \times 2^{249} - 1$