113563 has 8 divisors (see below), whose sum is σ = 123200. Its totient is φ = 104328.

The previous prime is 113557. The next prime is 113567. The reversal of 113563 is 365311.

113563 = T₂ + T₃ + ... + T₈₇.

113563 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 113563 - 2⁹ = 113051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 113563.

It is not an unprimeable number, because it can be changed into a prime (113567) 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, 748 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹¹³⁵⁶³ is an apocalyptic number.

113563 is a deficient number, since it is larger than the sum of its proper divisors (9637).

113563 is a wasteful number, since it uses less digits than its factorization.

113563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 270, while the sum is 19.

The square root of 113563 is about 336.9910978053. The cubic root of 113563 is about 48.4260395363.

Adding to 113563 its reverse (365311), we get a palindrome (478874).

It can be divided in two parts, 113 and 563, that added together give a palindrome (676).

The spelling of 113563 in words is "one hundred thirteen thousand, five hundred sixty-three".