3933 has 12 divisors (see below), whose sum is σ = 6240. Its totient is φ = 2376.

The previous prime is 3931. The next prime is 3943. The reversal of 3933 is 3393.

It is not a de Polignac number, because 3933 - 2¹ = 3931 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 a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3933.

It is not an unprimeable number, because it can be changed into a prime (3931) 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, 160 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (520).

It is an amenable number.

3933 is a deficient number, since it is larger than the sum of its proper divisors (2307).

3933 is a wasteful number, since it uses less digits than its factorization.

3933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 45 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 3933 is about 62.7136348811. The cubic root of 3933 is about 15.7848811205.

The spelling of 3933 in words is "three thousand, nine hundred thirty-three".