38817 has 12 divisors (see below), whose sum is σ = 59280. Its totient is φ = 24408.

The previous prime is 38803. The next prime is 38821. The reversal of 38817 is 71883.

38817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38817 - 2⁸ = 38561 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (38867) 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, 58 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

2³⁸⁸¹⁷ is an apocalyptic number.

It is an amenable number.

38817 is a deficient number, since it is larger than the sum of its proper divisors (20463).

38817 is a wasteful number, since it uses less digits than its factorization.

38817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 38817 is about 197.0203035223. The cubic root of 38817 is about 33.8589892249.

Subtracting from 38817 its product of digits (1344), we obtain a palindrome (37473).

The spelling of 38817 in words is "thirty-eight thousand, eight hundred seventeen".