20933 has 6 divisors (see below), whose sum is σ = 23142. Its totient is φ = 18920.

The previous prime is 20929. The next prime is 20939. The reversal of 20933 is 33902.

It is a happy number.

20933 is nontrivially palindromic in base 2 and base 8.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 484 = 143^2 + 22^2 .

It is not a de Polignac number, because 20933 - 2² = 20929 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 0 + 9 + 3⁶ + 3⁹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939) 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 5 ways as a sum of consecutive naturals, for example, 35 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (3857).

2²⁰⁹³³ is an apocalyptic number.

It is an amenable number.

20933 is a deficient number, since it is larger than the sum of its proper divisors (2209).

20933 is a wasteful number, since it uses less digits than its factorization.

20933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 20933 is about 144.6824108176. The cubic root of 20933 is about 27.5598695649.

It can be divided in two parts, 209 and 33, that added together give a palindrome (242).

The spelling of 20933 in words is "twenty thousand, nine hundred thirty-three".