33666 has 16 divisors (see below), whose sum is σ = 69888. Its totient is φ = 10800.

The previous prime is 33647. The next prime is 33679. The reversal of 33666 is 66633.

It is a super-2 number, since 2×33666² = 2266799112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33666.

It is an unprimeable number.

33666 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2³³⁶⁶⁶ is an apocalyptic number.

33666 is an abundant number, since it is smaller than the sum of its proper divisors (36222).

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 (34944).

33666 is a wasteful number, since it uses less digits than its factorization.

33666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 1944, while the sum is 24.

The square root of 33666 is about 183.4829692369. The cubic root of 33666 is about 32.2896873339.

The spelling of 33666 in words is "thirty-three thousand, six hundred sixty-six".