6633 has 12 divisors (see below), whose sum is σ = 10608. Its totient is φ = 3960.

The previous prime is 6619. The next prime is 6637. The reversal of 6633 is 3366.

6633 is a `hidden beast` number, since 663 + 3 = 666.

It is not a de Polignac number, because 6633 - 2⁶ = 6569 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (324) is a multiple of the sum of its prime divisors (81).

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (884).

2⁶⁶³³ is an apocalyptic number.

It is an amenable number.

6633 is a deficient number, since it is larger than the sum of its proper divisors (3975).

6633 is a wasteful number, since it uses less digits than its factorization.

6633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 6633 is about 81.4432317630. The cubic root of 6633 is about 18.7889855506.

Adding to 6633 its reverse (3366), we get a palindrome (9999).

It can be divided in two parts, 663 and 3, that added together give a palindrome (666).

The spelling of 6633 in words is "six thousand, six hundred thirty-three".