362

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


 * $2 \times 181$


 * The $3$rd positive integer after $1$, $87$ whose divisor sum of its Euler $\phi$ value equals its divisor sum:
 * $\map {\sigma_1} {\map \phi {362} } = \map {\sigma_1} {180} = 546 = \map {\sigma_1} {362}$


 * 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 $10$, $26$, $34$, $50$, $\ldots$, $290$, $292$, $298$, $310$, $326$, $340$, $344$, $346$:
 * $\nexists m \in \Z_{>0}: m - \map \phi m = 362$
 * where $\map \phi m$ denotes the Euler $\phi$ function