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That depends on if you mean by geography or culture. By geography, Norway is closest to Sweden, but culturally, Norway is probably closer to Denmark.
Fjords.
Currently, Norway owns Svalbard. They have the same currency, the same language, and the same geography.
Vidar Hisdal has written:
'On the tides at Norway Station and adjacent coastal areas of Antarctica' -- subject(s): Tides
'Svalbard' -- subject(s): History, Natural history, Physical geography
'Geography of Svalbard' -- subject(s): Geography
No, Norway is not one of the 27 nations currently in the European union.