123563 has 8 divisors (see below), whose sum is σ = 138240. Its totient is φ = 109480.

The previous prime is 123553. The next prime is 123581. The reversal of 123563 is 365321.

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 123563 - 2⁴ = 123547 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123503) 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, 398 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹²³⁵⁶³ is an apocalyptic number.

123563 is a deficient number, since it is larger than the sum of its proper divisors (14677).

123563 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 123563 = (361253)₈.

123563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297.

The product of its digits is 540, while the sum is 20.

The square root of 123563 is about 351.5152912748. The cubic root of 123563 is about 49.8076610634.

Adding to 123563 its reverse (365321), we get a palindrome (488884).

It can be divided in two parts, 123 and 563, that added together give a palindrome (686).

The spelling of 123563 in words is "one hundred twenty-three thousand, five hundred sixty-three".