38185 has 8 divisors (see below), whose sum is σ = 52416. Its totient is φ = 26160.

The previous prime is 38183. The next prime is 38189. The reversal of 38185 is 58183.

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

It is not a de Polignac number, because 38185 - 2¹ = 38183 is a prime.

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

38185 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (38183) 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, 511 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2³⁸¹⁸⁵ is an apocalyptic number.

38185 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38185 is a deficient number, since it is larger than the sum of its proper divisors (14231).

38185 is a wasteful number, since it uses less digits than its factorization.

38185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its digits is 960, while the sum is 25.

The square root of 38185 is about 195.4098257509. The cubic root of 38185 is about 33.6742241418.

It can be divided in two parts, 381 and 85, that multiplied together give a triangular number (32385 = T₂₅₄).

The spelling of 38185 in words is "thirty-eight thousand, one hundred eighty-five".