238563 has 12 divisors (see below), whose sum is σ = 371280. Its totient is φ = 146736.

The previous prime is 238547. The next prime is 238573. The reversal of 238563 is 365832.

It is not a de Polignac number, because 238563 - 2⁴ = 238547 is a prime.

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

238563 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238563.

It is not an unprimeable number, because it can be changed into a prime (238573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (30940).

238563 is a Friedman number, since it can be written as 62^3-8+3^5, using all its digits and the basic arithmetic operations.

2²³⁸⁵⁶³ is an apocalyptic number.

238563 is a deficient number, since it is larger than the sum of its proper divisors (132717).

238563 is a wasteful number, since it uses less digits than its factorization.

238563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2055 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 238563 is about 488.4291146113. The cubic root of 238563 is about 62.0203713842.

The spelling of 238563 in words is "two hundred thirty-eight thousand, five hundred sixty-three".