38665 has 16 divisors (see below), whose sum is σ = 54720. Its totient is φ = 25920.

The previous prime is 38653. The next prime is 38669. The reversal of 38665 is 56683.

It is not a de Polignac number, because 38665 - 2⁹ = 38153 is a prime.

Its product of digits (4320) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38669) 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 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2³⁸⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

38665 is a deficient number, since it is larger than the sum of its proper divisors (16055).

38665 is a wasteful number, since it uses less digits than its factorization.

38665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

The product of its digits is 4320, while the sum is 28.

The square root of 38665 is about 196.6341781075. The cubic root of 38665 is about 33.8147362887.

It can be divided in two parts, 38 and 665, that added together give a triangular number (703 = T₃₇).

The spelling of 38665 in words is "thirty-eight thousand, six hundred sixty-five".