133563 has 6 divisors (see below), whose sum is σ = 178932. Its totient is φ = 88620.

The previous prime is 133559. The next prime is 133571. The reversal of 133563 is 365331.

133563 is nontrivially palindromic in base 14.

133563 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133563 - 2² = 133559 is a prime.

133563 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (133543) 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, 528 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (29822).

133563 is a Friedman number, since it can be written as (6^3-5)^(3-1)*3, using all its digits and the basic arithmetic operations.

2¹³³⁵⁶³ is an apocalyptic number.

133563 is a deficient number, since it is larger than the sum of its proper divisors (45369).

133563 is an frugal number, since it uses more digits than its factorization.

133563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 214 counting only the distinct ones).

The product of its digits is 810, while the sum is 21.

The square root of 133563 is about 365.4627203970. The cubic root of 133563 is about 51.1166112894.

Adding to 133563 its reverse (365331), we get a palindrome (498894).

It can be divided in two parts, 133 and 563, that added together give a palindrome (696).

The spelling of 133563 in words is "one hundred thirty-three thousand, five hundred sixty-three".