38085 has 8 divisors (see below), whose sum is σ = 60960. Its totient is φ = 20304.

The previous prime is 38083. The next prime is 38113. The reversal of 38085 is 58083.

38085 = 61² + 62² + ... + 69².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 38085 - 2¹ = 38083 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2³⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

38085 is a deficient number, since it is larger than the sum of its proper divisors (22875).

38085 is a wasteful number, since it uses less digits than its factorization.

38085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38085 is about 195.1537855129. The cubic root of 38085 is about 33.6448027611.

It can be divided in two parts, 380 and 85, that added together give a triangular number (465 = T₃₀).

The spelling of 38085 in words is "thirty-eight thousand, eighty-five".