95

Number
$95$ (ninety-five) is:


 * $5 \times 19$


 * The $5$th hexagonal pyramidal number after $1$, $7$, $22$, $50$:
 * $95 = 1 + 6 + 15 + 28 + 45 = \displaystyle \sum_{k \mathop = 1}^5 k \left({2 k - 1}\right) = \dfrac {5 \left({5 + 1}\right) \left({4 \times 5 - 1}\right)} 6$


 * The $33$rd semiprime:
 * $95 = 5 \times 19$


 * The $6$th inconsummate number after $62$, $63$, $65$, $75$, $84$:
 * $\nexists n \in \Z_{>0}: n = 95 \times s_{10} \left({n}\right)$


 * The $5$th Thabit number after $(2)$, $5$, $11$, $23$, $47$:
 * $95 = 3 \times 2^5 - 1$


 * The $47$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $61$, $65$, $66$, $67$, $72$, $77$, $80$, $81$, $84$, $89$, $94$ which cannot be expressed as the sum of distinct pentagonal numbers.


 * The $3$rd of the $17$ positive integers for which the value of the Euler $\phi$ function is $72$:
 * $73$, $91$, $95$, $111$, $117$, $135$, $146$, $148$, $152$, $182$, $190$, $216$, $222$, $228$, $234$, $252$, $270$