487

Number
$487$ (four hundred and eighty-seven) is:


 * The $93$rd prime number


 * The larger of the $6$th pair of primes whose prime gap is $8$:
 * $487 - 479 = 8$


 * The $22$nd integer after $7$, $13$, $19$, $35$, $38$, $\ldots$, $223$, $253$, $285$, $305$, $350$, $380$, $410$, $475$ the decimal representation of whose square can be split into two parts which are each themselves square:
 * $487^2 = 237 \, 169; 23 \, 716 = 154^2, 9 = 3^2$


 * The $6$th positive integer $n$ after $157$, $262$, $367$, $412$, $472$ for which $\phi \left({2 n + 1}\right) < \phi \left({2 n}\right)$:
 * $\phi \left({2 \times 487 + 1}\right) = 480, \phi \left({2 \times 487}\right) = 486$


 * The $2$nd prime number $p$ after $3$ which satisfies the equation $p^2 \mathrel \backslash \left({10^p - 10}\right)$:
 * $487^2 \mathrel \backslash \left({10^{487} - 10}\right)$