38585 has 4 divisors (see below), whose sum is σ = 46308. Its totient is φ = 30864.

The previous prime is 38569. The next prime is 38593. The reversal of 38585 is 58583.

38585 is nontrivially palindromic in base 13.

38585 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58583 = 7 ⋅8369.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 22201 = 128^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 38585 - 2⁴ = 38569 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3854 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (11577).

2³⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

38585 is a deficient number, since it is larger than the sum of its proper divisors (7723).

38585 is an equidigital number, since it uses as much as digits as its factorization.

38585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722.

The product of its digits is 4800, while the sum is 29.

The square root of 38585 is about 196.4306493397. The cubic root of 38585 is about 33.7913986727.

The spelling of 38585 in words is "thirty-eight thousand, five hundred eighty-five".