221113 has 4 divisors (see below), whose sum is σ = 226548. Its totient is φ = 215680.

The previous prime is 221101. The next prime is 221159. The reversal of 221113 is 311122.

221113 = 332² + 333².

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

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 110224 = 333^2 + 332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221113 is a prime.

It is an Ulam number.

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 221113.

It is not an unprimeable number, because it can be changed into a prime (221173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2656 + ... + 2737.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

2²²¹¹¹³ is an apocalyptic number.

221113 is the 333-rd centered square number.

It is an amenable number.

221113 is a deficient number, since it is larger than the sum of its proper divisors (5435).

221113 is an equidigital number, since it uses as much as digits as its factorization.

221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434.

The product of its digits is 12, while the sum is 10.

The square root of 221113 is about 470.2265411480. The cubic root of 221113 is about 60.4697387538.

Adding to 221113 its reverse (311122), we get a palindrome (532235).

Subtracting 221113 from its reverse (311122), we obtain a palindrome (90009).

It can be divided in two parts, 2 and 21113, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 221113 in words is "two hundred twenty-one thousand, one hundred thirteen".