16933 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 13920.

The previous prime is 16931. The next prime is 16937. The reversal of 16933 is 33961.

16933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16933 - 2¹ = 16931 is a prime.

16933 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹⁶⁹³³ is an apocalyptic number.

It is an amenable number.

16933 is a deficient number, since it is larger than the sum of its proper divisors (3227).

16933 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (16932) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (107).

16933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its digits is 486, while the sum is 22.

The square root of 16933 is about 130.1268611779. The cubic root of 16933 is about 25.6789918504.

It can be divided in two parts, 169 and 33, that added together give a palindrome (202).

The spelling of 16933 in words is "sixteen thousand, nine hundred thirty-three".