4033

Number
$4033$ (four thousand and thirty-three) is:


 * $37 \times 109$


 * The $37$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $2296$, $2465$, $2640$, $2821$, $3008$, $3201$, $3400$, $3605$, $3816$:
 * $4033 = \displaystyle \sum_{k \mathop = 1}^{37} \left({6 k - 5}\right) = 37 \left({3 \times 37 - 2}\right)$


 * The $13$th Poulet number after $341$, $561$, $645$, $1105$, $1387$, $1729$, $1905$, $2047$, $2465$, $2701$, $2821$, $3277$:
 * $2^{4033} \equiv 2 \pmod {4033}$: $4033 = 37 \times 109$