305223641 has 2 divisors, whose sum is σ = 305223642. Its totient is φ = 305223640.

The previous prime is 305223617. The next prime is 305223643. The reversal of 305223641 is 146322503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179694025 + 125529616 = 13405^2 + 11204^2 .

It is an emirp because it is prime and its reverse (146322503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305223641 - 2¹⁸ = 304961497 is a prime.

It is a super-2 number, since 2×305223641² = 186322942050593762, which contains 22 as substring.

Together with 305223643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 305223641.

It is not a weakly prime, because it can be changed into another prime (305223643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152611820 + 152611821.

It is an arithmetic number, because the mean of its divisors is an integer number (152611821).

Almost surely, 2^305223641 is an apocalyptic number.

It is an amenable number.

305223641 is a deficient number, since it is larger than the sum of its proper divisors (1).

305223641 is an equidigital number, since it uses as much as digits as its factorization.

305223641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 305223641 is about 17470.6508464911. The cubic root of 305223641 is about 673.2960339161.

The spelling of 305223641 in words is "three hundred five million, two hundred twenty-three thousand, six hundred forty-one".