38563 has 6 divisors (see below), whose sum is σ = 44916. Its totient is φ = 33012.

The previous prime is 38561. The next prime is 38567. The reversal of 38563 is 36583.

38563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38563 - 2¹ = 38561 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 8⁵ + 5³ + 6⁴ + 3⁷ .

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

It is a Duffinian number.

38563 is a lucky number.

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 5 ways as a sum of consecutive naturals, for example, 345 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (7486).

2³⁸⁵⁶³ is an apocalyptic number.

38563 is a deficient number, since it is larger than the sum of its proper divisors (6353).

38563 is an equidigital number, since it uses as much as digits as its factorization.

38563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 38563 is about 196.3746419475. The cubic root of 38563 is about 33.7849751738.

The spelling of 38563 in words is "thirty-eight thousand, five hundred sixty-three".