5033 has 4 divisors (see below), whose sum is σ = 5760. Its totient is φ = 4308.

The previous prime is 5023. The next prime is 5039. The reversal of 5033 is 3305.

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, and also an emirpimes, since its reverse is a distinct semiprime: 3305 = 5 ⋅661.

It is a cyclic number.

It is not a de Polignac number, because 5033 - 2⁶ = 4969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5039) 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, 353 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

It is an amenable number.

5033 is a deficient number, since it is larger than the sum of its proper divisors (727).

5033 is an equidigital number, since it uses as much as digits as its factorization.

5033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 5033 is about 70.9436396022. The cubic root of 5033 is about 17.1372964769.

Adding to 5033 its reverse (3305), we get a palindrome (8338).

Subtracting from 5033 its reverse (3305), we obtain a cube (1728 = 12³).

The spelling of 5033 in words is "five thousand, thirty-three".