666 is the sum of the first 36 natural numbers i.e. 1 + 2 + 3 + ... + 34 + 35 + 36 = 666), and thus it is a triangular number Notice that 36 = 15 + 21; 15 and 21 are also triangular numbers; and 152 + 212 = 225 + 441 = 666.
666 is a repdigit (and therefore a palindromic number)and a Smith number. A prime reciprocal magic square based on 1/149 in base 10 has a magic total of 666.
The prime factorization of 666 is 2 • 32 • 37. Also, 666 is the sum of squares of first seven primes: {\displaystyle 2^{2}+3^{2}+5^{2}+7^{2}+11^{2}+13^{2}+17^{2}}
The Roman numeral for 666, DCLXVI, has exactly one occurrence of all symbols whose value is less than 1000 in decreasing order (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).
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