38565 has 12 divisors (see below), whose sum is σ = 66924. Its totient is φ = 20544.

The previous prime is 38561. The next prime is 38567. The reversal of 38565 is 56583.

38565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 12321 = 162^2 + 111^2 .

It is not a de Polignac number, because 38565 - 2² = 38561 is a prime.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38565.

It is not an unprimeable number, because it can be changed into a prime (38561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (5577).

2³⁸⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

38565 is a deficient number, since it is larger than the sum of its proper divisors (28359).

38565 is a wasteful number, since it uses less digits than its factorization.

38565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 865 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 38565 is about 196.3797341886. The cubic root of 38565 is about 33.7855592292.

The spelling of 38565 in words is "thirty-eight thousand, five hundred sixty-five".