213563 has 4 divisors (see below), whose sum is σ = 244080. Its totient is φ = 183048.

The previous prime is 213557. The next prime is 213589. The reversal of 213563 is 365312.

213563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 213563 - 2⁸ = 213307 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15248 + ... + 15261.

It is an arithmetic number, because the mean of its divisors is an integer number (61020).

2²¹³⁵⁶³ is an apocalyptic number.

213563 is a deficient number, since it is larger than the sum of its proper divisors (30517).

213563 is an equidigital number, since it uses as much as digits as its factorization.

213563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30516.

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

The square root of 213563 is about 462.1287699332. The cubic root of 213563 is about 59.7734978743.

Adding to 213563 its reverse (365312), we get a palindrome (578875).

The spelling of 213563 in words is "two hundred thirteen thousand, five hundred sixty-three".