38865 has 8 divisors (see below), whose sum is σ = 62208. Its totient is φ = 20720.

The previous prime is 38861. The next prime is 38867. The reversal of 38865 is 56883.

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

It is not a de Polignac number, because 38865 - 2² = 38861 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2³⁸⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

38865 is a deficient number, since it is larger than the sum of its proper divisors (23343).

38865 is a wasteful number, since it uses less digits than its factorization.

38865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599.

The product of its digits is 5760, while the sum is 30.

The square root of 38865 is about 197.1420807438. The cubic root of 38865 is about 33.8729398310.

It can be divided in two parts, 38 and 865, that added together give a triangular number (903 = T₄₂).

The spelling of 38865 in words is "thirty-eight thousand, eight hundred sixty-five".