38833 has 2 divisors, whose sum is σ = 38834. Its totient is φ = 38832.

The previous prime is 38821. The next prime is 38839. The reversal of 38833 is 33883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 10609 = 168^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 38833 - 2⁹ = 38321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38798 and 38807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19416 + 19417.

It is an arithmetic number, because the mean of its divisors is an integer number (19417).

2³⁸⁸³³ is an apocalyptic number.

It is an amenable number.

38833 is a deficient number, since it is larger than the sum of its proper divisors (1).

38833 is an equidigital number, since it uses as much as digits as its factorization.

38833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

The square root of 38833 is about 197.0609042910. The cubic root of 38833 is about 33.8636407041.

Subtracting from 38833 its reverse (33883), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 3 and 8833, that added together give a square (8836 = 94²).

The spelling of 38833 in words is "thirty-eight thousand, eight hundred thirty-three".