20133 has 6 divisors (see below), whose sum is σ = 29094. Its totient is φ = 13416.

The previous prime is 20129. The next prime is 20143. The reversal of 20133 is 33102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 1089 = 138^2 + 33^2 .

It is not a de Polignac number, because 20133 - 2² = 20129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2237 = 20133 / (2 + 0 + 1 + 3 + 3).

20133 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1110 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (4849).

2²⁰¹³³ is an apocalyptic number.

It is an amenable number.

20133 is a deficient number, since it is larger than the sum of its proper divisors (8961).

20133 is a wasteful number, since it uses less digits than its factorization.

20133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20133 is about 141.8908030846. The cubic root of 20133 is about 27.2042128711.

Adding to 20133 its reverse (33102), we get a palindrome (53235).

It can be divided in two parts, 2013 and 3, that added together give a triangular number (2016 = T₆₃).

The spelling of 20133 in words is "twenty thousand, one hundred thirty-three".