1825

Number
$1825$ (one thousand, eight hundred and twenty-five) is:


 * $5^2 \times 73$


 * The $25$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $645$, $736$, $833$, $936$, $1045$, $1160$, $1281$, $1408$, $1541$, $1680$:
 * $1825 = \displaystyle \sum_{k \mathop = 1}^{25} \left({6 k - 5}\right) = 25 \left({3 \times 25 - 2}\right)$