38233 has 8 divisors (see below), whose sum is σ = 43848. Its totient is φ = 33024.

The previous prime is 38231. The next prime is 38237. The reversal of 38233 is 33283.

38233 is nontrivially palindromic in base 16.

38233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 26569 = 108^2 + 163^2 .

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 38233 - 2¹ = 38231 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38233.

It is not an unprimeable number, because it can be changed into a prime (38231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

2³⁸²³³ is an apocalyptic number.

It is an amenable number.

38233 is a deficient number, since it is larger than the sum of its proper divisors (5615).

38233 is a wasteful number, since it uses less digits than its factorization.

38233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its digits is 432, while the sum is 19.

The square root of 38233 is about 195.5326059766. The cubic root of 38233 is about 33.6883281613.

Subtracting from 38233 its reverse (33283), we obtain a triangular number (4950 = T₉₉).

The spelling of 38233 in words is "thirty-eight thousand, two hundred thirty-three".