4033 has 4 divisors (see below), whose sum is σ = 4180. Its totient is φ = 3888.

The previous prime is 4027. The next prime is 4049. The reversal of 4033 is 3304.

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 3249 + 784 = 57^2 + 28^2 .

It is a 3-Lehmer number, since φ(4033) divides (4033-1)³.

It is a cyclic number.

It is not a de Polignac number, because 4033 - 2⁵ = 4001 is a prime.

It is the 64-th Hogben number.

It is a Duffinian number.

4033 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003) by changing a digit.

It is a nontrivial repunit in base 63.

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, 18 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (1045).

It is a Proth number, since it is equal to 63 ⋅ 2⁶ + 1 and 63 < 2⁶.

It is a Poulet number, since it divides 2⁴⁰³²-1.

4033 is the 37-th octagonal number.

It is an amenable number.

4033 is a deficient number, since it is larger than the sum of its proper divisors (147).

4033 is a wasteful number, since it uses less digits than its factorization.

4033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 4033 is about 63.5059052372. The cubic root of 4033 is about 15.9175445486.

Adding to 4033 its reverse (3304), we get a palindrome (7337).

Subtracting from 4033 its reverse (3304), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 403 and 3, that added together give a triangular number (406 = T₂₈).

The spelling of 4033 in words is "four thousand, thirty-three".