36066 has 8 divisors (see below), whose sum is σ = 72144. Its totient is φ = 12020.

The previous prime is 36061. The next prime is 36067. The reversal of 36066 is 66063.

It is a sphenic number, since it is the product of 3 distinct primes.

36066 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (36061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3000 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (9018).

2³⁶⁰⁶⁶ is an apocalyptic number.

36066 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072).

36066 is a wasteful number, since it uses less digits than its factorization.

36066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36066 is about 189.9105052387. The cubic root of 36066 is about 33.0394386145.

The spelling of 36066 in words is "thirty-six thousand, sixty-six", and thus it is an eban number.