517
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Number
$517$ (five hundred and seventeen) is:
- $11 \times 47$
- The $21$st Smith number after $4$, $22$, $27$, $58$, $\ldots$, $346$, $355$, $378$, $382$, $391$, $438$, $454$, $483$:
- $5 + 1 + 7 = 1 + 1 + 4 + 7 = 13$
- The $28$th number whose divisor sum is square:
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- $\map {\sigma_1} {517} = 576 = 24^2$