224113 has 2 divisors, whose sum is σ = 224114. Its totient is φ = 224112.

The previous prime is 224101. The next prime is 224129. The reversal of 224113 is 311422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 23409 = 448^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 224113 - 2¹³ = 215921 is a prime.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 224093 and 224102.

It is not a weakly prime, because it can be changed into another prime (224153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112056 + 112057.

It is an arithmetic number, because the mean of its divisors is an integer number (112057).

2²²⁴¹¹³ is an apocalyptic number.

It is an amenable number.

224113 is a deficient number, since it is larger than the sum of its proper divisors (1).

224113 is an equidigital number, since it uses as much as digits as its factorization.

224113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 13.

The square root of 224113 is about 473.4057456348. The cubic root of 224113 is about 60.7419900587.

Adding to 224113 its reverse (311422), we get a palindrome (535535).

The spelling of 224113 in words is "two hundred twenty-four thousand, one hundred thirteen".