There is a minhag brought by the Kedushas Levi, R’ Levi Yitzchok M’barditchev in the name of the Ramban and the Ba’al Shem Tov to say Vi’hi Noam and Yoshev Bi’saser (Tehillim 91) seven times following the lighting, as a segulah for a protection for the coming year.

Some also have the minhag to say; Mizmor Shir Chanukas Habayis (Tehillim 30), Lamenatzeach B’niginos  (Tehillim 67) in the form of the Menorah (as printed in the back of many siddurim and tehillim), Shir La’maalos (Tehillim 121), Mizmor Le’soda (Tehillim 100), Nishmas Kol Chai, and A’na B’koach 7 times.