33038 has 4 divisors (see below), whose sum is σ = 49560. Its totient is φ = 16518.

The previous prime is 33037. The next prime is 33049. The reversal of 33038 is 83033.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83033 = 43 ⋅1931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8258 + ... + 8261.

It is an arithmetic number, because the mean of its divisors is an integer number (12390).

2³³⁰³⁸ is an apocalyptic number.

33038 is a deficient number, since it is larger than the sum of its proper divisors (16522).

33038 is a wasteful number, since it uses less digits than its factorization.

33038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16521.

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

The square root of 33038 is about 181.7635827112. The cubic root of 33038 is about 32.0876503252.

The spelling of 33038 in words is "thirty-three thousand, thirty-eight".