adverb (r)

• in a manner differing from the usual or expected(adv.all)

  Example:
  Had a curiously husky voice.
  

  Synonym:
  oddly, peculiarly
  

  source: wordnet30
• with curiosity(adv.all)

  Example:
  The baby looked around curiously.
  

  Synonym:
  inquisitively, interrogatively
  

  source: wordnet30
• In a curious manner.(adverb)

  source: webster1913