38133 has 12 divisors (see below), whose sum is σ = 58240. Its totient is φ = 23976.

The previous prime is 38119. The next prime is 38149. The reversal of 38133 is 33183.

It is not a de Polignac number, because 38133 - 2⁶ = 38069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 282.

2³⁸¹³³ is an apocalyptic number.

It is an amenable number.

38133 is a deficient number, since it is larger than the sum of its proper divisors (20107).

38133 is a wasteful number, since it uses less digits than its factorization.

38133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 38133 is about 195.2767267239. The cubic root of 38133 is about 33.6589314430.

Subtracting from 38133 its reverse (33183), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 381 and 33, that added together give a palindrome (414).

The spelling of 38133 in words is "thirty-eight thousand, one hundred thirty-three".