38917 has 2 divisors, whose sum is σ = 38918. Its totient is φ = 38916.

The previous prime is 38903. The next prime is 38921. The reversal of 38917 is 71983.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 12996 = 161^2 + 114^2 .

It is an emirp because it is prime and its reverse (71983) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38917 is a prime.

It is a Chen prime.

38917 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19458 + 19459.

It is an arithmetic number, because the mean of its divisors is an integer number (19459).

2³⁸⁹¹⁷ is an apocalyptic number.

It is an amenable number.

38917 is a deficient number, since it is larger than the sum of its proper divisors (1).

38917 is an equidigital number, since it uses as much as digits as its factorization.

38917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 28.

The square root of 38917 is about 197.2739212364. The cubic root of 38917 is about 33.8880400317. Note that the first 3 decimals are identical.

It can be divided in two parts, 389 and 17, that added together give a triangular number (406 = T₂₈).

The spelling of 38917 in words is "thirty-eight thousand, nine hundred seventeen".