38033 has 4 divisors (see below), whose sum is σ = 38628. Its totient is φ = 37440.

The previous prime is 38011. The next prime is 38039. The reversal of 38033 is 33083.

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 16129 + 21904 = 127^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 38033 - 2¹² = 33937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38039) 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, 188 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (9657).

2³⁸⁰³³ is an apocalyptic number.

It is an amenable number.

38033 is a deficient number, since it is larger than the sum of its proper divisors (595).

38033 is an equidigital number, since it uses as much as digits as its factorization.

38033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 38033 is about 195.0205117417. The cubic root of 38033 is about 33.6294832863.

Multiplying 38033 by its product of nonzero digits (216), we get a palindrome (8215128).

Subtracting from 38033 its reverse (33083), we obtain a triangular number (4950 = T₉₉).

The spelling of 38033 in words is "thirty-eight thousand, thirty-three".