33006 has 8 divisors (see below), whose sum is σ = 66024. Its totient is φ = 11000.

The previous prime is 32999. The next prime is 33013. The reversal of 33006 is 60033.

It is an interprime number because it is at equal distance from previous prime (32999) and next prime (33013).

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

33006 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 32982 and 33000.

It is a congruent number.

It is an unprimeable number.

33006 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2745 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (8253).

2³³⁰⁰⁶ is an apocalyptic number.

33006 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 (33012).

33006 is a wasteful number, since it uses less digits than its factorization.

33006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 33006 is about 181.6755349517. The cubic root of 33006 is about 32.0772871424.

Adding to 33006 its reverse (60033), we get a palindrome (93039).

The spelling of 33006 in words is "thirty-three thousand, six".