Nexus Player Bluetooth always discoverable.

I've noticed during the time I've had my Nexus Player that random things have been connected to its Bluetooth, like my neighbor's phone (by accident). I've checked the discoverable items in my area, and the Nexus Player always shows up. I want to make it not discoverable, in case someone with malicious intent connects to it through Bluetooth and installs malware or something, but I can't find any option on the device or any answers anywhere on Google or anywhere else on the internet.

Any help would be appreciated!

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