8033 has 4 divisors (see below), whose sum is σ = 8340. Its totient is φ = 7728.

The previous prime is 8017. The next prime is 8039. The reversal of 8033 is 3308.

It is a happy number.

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 2704 + 5329 = 52^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 8033 - 2⁴ = 8017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7999 and 8017.

It is not an unprimeable number, because it can be changed into a prime (8039) 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, 110 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (2085).

2⁸⁰³³ is an apocalyptic number.

It is an amenable number.

8033 is a deficient number, since it is larger than the sum of its proper divisors (307).

8033 is a wasteful number, since it uses less digits than its factorization.

8033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 8033 is about 89.6270048590. The cubic root of 8033 is about 20.0274622739.

The spelling of 8033 in words is "eight thousand, thirty-three".