Who knows sixty-five?
Please cite/link your sources, if possible. At some point in the next few days, I will:
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65 years passed from when Amos prophesied the eventual exile of the Ten Tribes, until that exile actually occurred and the the kingdom of Israel ("Ephraim") ceased to exist. (Isaiah 7:8 and commentaries there)
Mahalalel was 65 when Yared was born to him (Bereishis 5:15); Chanoch was 65 when Mesushelach was born to him (ibid. v. 21).
65 is the median number of years ("once every sixty or seventy years...") that it took for the leftover ketores to accumulate and add up to 184 maneh, which is half of the yearly ketores recipe. (Kerisos 6b)
65 is the gematria of הלל, Hallel (or Hillel). The significance of this is expounded in Sefer Hap'liah as follows:
הסר כעס מלבך ר"ת עולים הלל, במספר הכ"ם ס"ה והלל עולה ג"כ ס"ה