|Factorization||22 × 32|
|Divisors||1, 2, 3, 4, 6, 9, 12, 18, 36|
36 is both the square of six and a triangular number, making it a square triangular number. It is the smallest square triangular number other than one, and it is also the only triangular number other than one whose square root is also a triangular number.
It is the smallest number n with exactly eight solutions to the equation φ(x) = n. It is the smallest number with exactly nine divisors, leading 36 to be a highly composite number. Adding up some subsets of its divisors (e.g., 6, 12, and 18) gives 36, hence it is a semiperfect number.
This number is the sum of the cubes of the first three positive integers and also the product of the squares of the first three positive integers.
The number of possible outcomes (not summed) in the roll of two distinct dice.
36 is the largest numeric base that some computer systems support because it exhausts the numerals, 0–9, and the letters, A-Z. See Base 36.