224032013 has 2 divisors, whose sum is σ = 224032014. Its totient is φ = 224032012.

The previous prime is 224031991. The next prime is 224032019. The reversal of 224032013 is 310230422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223861444 + 170569 = 14962^2 + 413^2 .

It is a cyclic number.

It is not a de Polignac number, because 224032013 - 2⁶ = 224031949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224031982 and 224032000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224032019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112016006 + 112016007.

It is an arithmetic number, because the mean of its divisors is an integer number (112016007).

Almost surely, 2^224032013 is an apocalyptic number.

It is an amenable number.

224032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

224032013 is an equidigital number, since it uses as much as digits as its factorization.

224032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 224032013 is about 14967.6989881545. The cubic root of 224032013 is about 607.3467246407.

Adding to 224032013 its reverse (310230422), we get a palindrome (534262435).

The spelling of 224032013 in words is "two hundred twenty-four million, thirty-two thousand, thirteen".