2033 has 4 divisors (see below), whose sum is σ = 2160. Its totient is φ = 1908.

The previous prime is 2029. The next prime is 2039. The reversal of 2033 is 3302.

2033 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2033 - 2² = 2029 is a prime.

It is a Duffinian number.

2033 is a modest number, since divided by 33 gives 20 as remainder.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2033.

It is not an unprimeable number, because it can be changed into a prime (2039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2²⁰³³ is an apocalyptic number.

It is an amenable number.

2033 is a deficient number, since it is larger than the sum of its proper divisors (127).

2033 is a wasteful number, since it uses less digits than its factorization.

2033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 2033 is about 45.0888012704. The cubic root of 2033 is about 12.6681284863.

Adding to 2033 its reverse (3302), we get a palindrome (5335).

The spelling of 2033 in words is "two thousand, thirty-three".