38385 has 12 divisors (see below), whose sum is σ = 66612. Its totient is φ = 20448.

The previous prime is 38377. The next prime is 38393. The reversal of 38385 is 58383.

It is an interprime number because it is at equal distance from previous prime (38377) and next prime (38393).

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 31329 = 84^2 + 177^2 .

It is not a de Polignac number, because 38385 - 2³ = 38377 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 an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (5551).

2³⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

38385 is a deficient number, since it is larger than the sum of its proper divisors (28227).

38385 is a wasteful number, since it uses less digits than its factorization.

38385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 861 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38385 is about 195.9209024071. The cubic root of 38385 is about 33.7329131615.

The spelling of 38385 in words is "thirty-eight thousand, three hundred eighty-five".