Obviously——used to mean that a fact can easily be noticed or understood.
Apparently——①used to say that you have heard that something is true, although you are not completely sure about it ②according to the way someone looks or a situation appears, although you cannot be sure.
Evidently——(slightly formal)used to say that something is true because you can see that it is true.
Obviously是依然是最地道的“明显”,跟形容词形式意思一样,evidently虽然也是这个意思,但《剑桥高级学习者词典》指出此词略微正式,与obvious相比,’it is usually better to choose the word obvious’,因此副词也比较正式。