167

Number
$167$ (one hundred and sixty-seven) is:


 * The $39$th prime number


 * The $13$th emirp after $13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157$


 * The $27$th happy number after $1, 7, 10, 13, 19, 23, \ldots, 91, 94, 97, 100, 103, 109, 129, 130, 133, 139$:
 * $167 \to 1^2 + 6^2 + 7^2 = 1 + 36 + 49 = 86 \to 8^2 + 6^2 = 64 + 36 = 100 \to 1^2 + 0^2 + 0^2 = 1$


 * The $3$rd of the $2$nd ordered triple of consecutive integers after $\left({105, 106, 107}\right)$ that have Euler $\phi$ values which are strictly increasing:
 * $\phi \left({165}\right) = 80$, $\phi \left({166}\right) = 82$, $\phi \left({167}\right) = 166$


 * The $33$rd positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.