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36 = 2232

• 36 can be written using four 4's:

See also 113.

• Deleting all the even digits from 236 = 68719476736 we obtain a prime (719773).

36 has 9 divisors (see below), whose sum is σ = 91. Its totient is φ = 12.

The previous prime is 31. The next prime is 37. The reversal of 36 is 63.

36 = T5 + T6.

36 = 13 + 23 + 33.

The square root of 36 is 6.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)2.

36 is nontrivially palindromic in base 5, base 8 and base 11.

36 is an esthetic number in base 4 and base 5, because in such bases its adjacent digits differ by 1.

36 is a nontrivial binomial coefficient, being equal to C(9, 2).

It is a tau number, because it is divible by the number of its divisors (9).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a O'Halloran number.

It is a Duffinian number.

36 is an undulating number in base 5.

36 is a nontrivial repdigit in base 8 and base 11.

It is a plaindrome in base 8, base 10, base 11, base 13, base 14, base 15 and base 16.

It is a nialpdrome in base 3, base 4, base 6, base 7, base 8, base 9, base 11 and base 12.

It is a zygodrome in base 3, base 8 and base 11.

It is a panconsummate number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11 + 12 + 13.

36 is a highly composite number, because it has more divisors than any smaller number.

36 is a superabundant number, because it has a larger abundancy index than any smaller number.

36 is the 8-th triangular number and also the 6-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36

36 is an abundant number, since it is smaller than the sum of its proper divisors (55).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36 is a wasteful number, since it uses less digits than its factorization.

36 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10 (or 5 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The cubic root of 36 is about 3.3019272489.

Adding to 36 its reverse (63), we get a palindrome (99).

Subtracting 36 from its reverse (63), we obtain a cube (27 = 33).

The spelling of 36 in words is "thirty-six", and thus it is an aban number, an eban number, an oban number, and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36