33000006 has 32 divisors (see below), whose sum is σ = 72737280. Its totient is φ = 9916704.

The previous prime is 33000001. The next prime is 33000007. The reversal of 33000006 is 60000033.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32999955 and 33000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 8273.

It is an arithmetic number, because the mean of its divisors is an integer number (2273040).

Almost surely, 2^33000006 is an apocalyptic number.

33000006 is an abundant number, since it is smaller than the sum of its proper divisors (39737274).

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

33000006 is a wasteful number, since it uses less digits than its factorization.

33000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900.

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

The square root of 33000006 is about 5744.5631687710. The cubic root of 33000006 is about 320.7534524392.

Adding to 33000006 its reverse (60000033), we get a palindrome (93000039).

The spelling of 33000006 in words is "thirty-three million, six", and thus it is an aban number and an uban number.