38805 has 16 divisors (see below), whose sum is σ = 67200. Its totient is φ = 19008.

The previous prime is 38803. The next prime is 38821. The reversal of 38805 is 50883.

It is not a de Polignac number, because 38805 - 2¹ = 38803 is a prime.

It is a Curzon number.

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 (38803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2³⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

38805 is a deficient number, since it is larger than the sum of its proper divisors (28395).

38805 is a wasteful number, since it uses less digits than its factorization.

38805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

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

The square root of 38805 is about 196.9898474541. The cubic root of 38805 is about 33.8554997766.

Subtracting from 38805 its sum of digits (24), we obtain a triangular number (38781 = T₂₇₈).

The spelling of 38805 in words is "thirty-eight thousand, eight hundred five".