925

Number
$925$ (nine hundred and twenty-five) is:


 * $5^2 \times 37$


 * The $25$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $\ldots$, $477$, $532$, $590$, $651$, $715$, $782$, $852$:
 * $925 = \displaystyle \sum_{k \mathop = 1}^{25} \left({3 k - 2}\right) = \dfrac {25 \left({3 \times 25 - 1}\right)} 2$


 * The $49$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $610$, $651$, $672$, $715$, $737$, $782$, $805$, $852$, $876$:
 * $925 = \displaystyle \sum_{k \mathop = 1}^{25} \left({3 k - 2}\right) = \dfrac {25 \left({3 \times 25 - 1}\right)} 2$