223005329 has 2 divisors, whose sum is σ = 223005330. Its totient is φ = 223005328.

The previous prime is 223005319. The next prime is 223005347. The reversal of 223005329 is 923500322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211033729 + 11971600 = 14527^2 + 3460^2 .

It is a cyclic number.

It is not a de Polignac number, because 223005329 - 2¹⁶ = 222939793 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223005298 and 223005307.

It is not a weakly prime, because it can be changed into another prime (223005319) 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 as a sum of consecutive naturals, namely, 111502664 + 111502665.

It is an arithmetic number, because the mean of its divisors is an integer number (111502665).

Almost surely, 2^223005329 is an apocalyptic number.

It is an amenable number.

223005329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223005329 is an equidigital number, since it uses as much as digits as its factorization.

223005329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 223005329 is about 14933.3629501194. The cubic root of 223005329 is about 606.4175298655.

The spelling of 223005329 in words is "two hundred twenty-three million, five thousand, three hundred twenty-nine".