38533 has 8 divisors (see below), whose sum is σ = 43776. Its totient is φ = 33600.

The previous prime is 38501. The next prime is 38543. The reversal of 38533 is 33583.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38533 - 2⁵ = 38501 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 (38543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 285 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2³⁸⁵³³ is an apocalyptic number.

It is an amenable number.

38533 is a deficient number, since it is larger than the sum of its proper divisors (5243).

38533 is a wasteful number, since it uses less digits than its factorization.

38533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 1080, while the sum is 22.

The square root of 38533 is about 196.2982424781. The cubic root of 38533 is about 33.7762119189.

Subtracting from 38533 its reverse (33583), we obtain a triangular number (4950 = T₉₉).

The spelling of 38533 in words is "thirty-eight thousand, five hundred thirty-three".