221844313 has 2 divisors, whose sum is σ = 221844314. Its totient is φ = 221844312.

The previous prime is 221844289. The next prime is 221844319. The reversal of 221844313 is 313448122.

221844313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213393664 + 8450649 = 14608^2 + 2907^2 .

It is a cyclic number.

It is not a de Polignac number, because 221844313 - 2⁵ = 221844281 is a prime.

It is equal to p_12218473 and since 221844313 and 12218473 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (221844319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110922156 + 110922157.

It is an arithmetic number, because the mean of its divisors is an integer number (110922157).

Almost surely, 2^221844313 is an apocalyptic number.

It is an amenable number.

221844313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221844313 is an equidigital number, since it uses as much as digits as its factorization.

221844313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 28.

The square root of 221844313 is about 14894.4389958132. The cubic root of 221844313 is about 605.3633161437.

The spelling of 221844313 in words is "two hundred twenty-one million, eight hundred forty-four thousand, three hundred thirteen".