2533 has 4 divisors (see below), whose sum is σ = 2700. Its totient is φ = 2368.

The previous prime is 2531. The next prime is 2539. The reversal of 2533 is 3352.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1089 + 1444 = 33^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 2533 - 2¹ = 2531 is a prime.

It is a Duffinian number.

2533 is a modest number, since divided by 33 gives 25 as remainder.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531) 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2²⁵³³ is an apocalyptic number.

It is an amenable number.

2533 is a deficient number, since it is larger than the sum of its proper divisors (167).

2533 is a wasteful number, since it uses less digits than its factorization.

2533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its digits is 90, while the sum is 13.

The square root of 2533 is about 50.3289181286. The cubic root of 2533 is about 13.6315444250.

Adding to 2533 its reverse (3352), we get a palindrome (5885).

It can be divided in two parts, 253 and 3, that added together give a 8-th power (256 = 2⁸).

The spelling of 2533 in words is "two thousand, five hundred thirty-three".