While Seven of Nine plays a game with Naomi Wildman, and her personality is that of a little girl, you can see the reflection of this little girl in the game board, instead of Seven's. The game is called Kadis-kot and is played in some other episodes.
Naomi tells Seven that she wants to begin her Starfleet career as Cpt. Janeway's "bridge assistant". Seven tells her that no such position exists on Voyager. The duties that Naomi describes (and is even show performing in a few later episodes) are roughly in line with a Starfleet yeoman, effectively the captain's bridge assistant.
47 reference: according to Naomi Wildman, there are 47 sub-orders in the Prime Directive.
This is the first "Star Trek" episode to mention the Vulcan High Command, which would later be referenced throughout Star Trek: Enterprise (2001).
This takes place in 2375.