38333 has 2 divisors, whose sum is σ = 38334. Its totient is φ = 38332.

The previous prime is 38329. The next prime is 38351. The reversal of 38333 is 33383.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 3364 = 187^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 38333 - 2² = 38329 is a prime.

It is a Sophie Germain prime.

38333 is a modest number, since divided by 333 gives 38 as remainder.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19166 + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (19167).

2³⁸³³³ is an apocalyptic number.

It is an amenable number.

38333 is a deficient number, since it is larger than the sum of its proper divisors (1).

38333 is an equidigital number, since it uses as much as digits as its factorization.

38333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 20.

The square root of 38333 is about 195.7881508161. The cubic root of 38333 is about 33.7176736654.

Subtracting from 38333 its reverse (33383), we obtain a triangular number (4950 = T₉₉).

The spelling of 38333 in words is "thirty-eight thousand, three hundred thirty-three".