2197

Number
$2197$ (two thousand, one hundred and ninety-seven) is:
 * $13^3$


 * The $13$th cube number after $1$, $8$, $27$, $64$, $125$, $216$, $343$, $512$, $729$, $1000$, $1331$, $1728$:
 * $2197 = 13 \times 13 \times 13$


 * The $3$rd power of $13$ after $(1)$, $13$, $169$:
 * $2197 = 13^3$


 * The $14$th term of a sequence of $17$ consecutive integers all of which are not coprime with the product of the other $16$:
 * $2197 \not \perp \displaystyle \prod_{\substack {2184 \mathop \le k \mathop \le 2200 \\ k \mathop \ne 2197} } k$