362

Number
$362$ (three hundred and sixty-two) is:


 * $2 \times 181$


 * The index (after $2, 3, 6, 30, 75, 81, 115, 123, 249$) of the $10$th Woodall prime:
 * $362 \times 2^{362} - 1$


 * The $36$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $290$, $292$, $298$, $310$, $326$, $340$, $344$, $346$:
 * $\nexists m \in \Z_{>0}: m - \phi \left({m}\right) = 362$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $3$rd positive integer after $1$, $87$ whose $\sigma$ value of its Euler $\phi$ value equals its $\sigma$ value:
 * $\sigma \left({\phi \left({362}\right)}\right) = \sigma \left({180}\right) = 546 = \sigma \left({362}\right)$