33993 has 8 divisors (see below), whose sum is σ = 50400. Its totient is φ = 22644.

The previous prime is 33967. The next prime is 33997. The reversal of 33993 is 39933.

It is not a de Polignac number, because 33993 - 2⁵ = 33961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1259 = 33993 / (3 + 3 + 9 + 9 + 3).

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

It is a Curzon number.

33993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (33997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2³³⁹⁹³ is an apocalyptic number.

It is an amenable number.

33993 is a deficient number, since it is larger than the sum of its proper divisors (16407).

33993 is a wasteful number, since it uses less digits than its factorization.

33993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 33993 is about 184.3719067537. The cubic root of 33993 is about 32.3938945972.

The spelling of 33993 in words is "thirty-three thousand, nine hundred ninety-three".