33117 has 16 divisors (see below), whose sum is σ = 53760. Its totient is φ = 17712.

The previous prime is 33113. The next prime is 33119. The reversal of 33117 is 71133.

It is not a de Polignac number, because 33117 - 2² = 33113 is a prime.

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

It is an Ulam number.

33117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33096 and 33105.

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 33117.

It is not an unprimeable number, because it can be changed into a prime (33113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 358 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³³¹¹⁷ is an apocalyptic number.

It is an amenable number.

33117 is a deficient number, since it is larger than the sum of its proper divisors (20643).

33117 is a wasteful number, since it uses less digits than its factorization.

33117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 63, while the sum is 15.

The square root of 33117 is about 181.9807682147. The cubic root of 33117 is about 32.1132058124.

The spelling of 33117 in words is "thirty-three thousand, one hundred seventeen".