4221313 has 2 divisors, whose sum is σ = 4221314. Its totient is φ = 4221312.

The previous prime is 4221311. The next prime is 4221323. The reversal of 4221313 is 3131224.

It is a happy number.

4221313 is nontrivially palindromic in base 9.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 10609 = 2052^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 4221313 - 2¹ = 4221311 is a prime.

It is a super-3 number, since 3×4221313³ (a number of 21 digits) contains 333 as substring.

Together with 4221311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110656 + 2110657.

It is an arithmetic number, because the mean of its divisors is an integer number (2110657).

Almost surely, 2^4221313 is an apocalyptic number.

It is an amenable number.

4221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221313 is an equidigital number, since it uses as much as digits as its factorization.

4221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 16.

The square root of 4221313 is about 2054.5834127628. The cubic root of 4221313 is about 161.6153170014.

Adding to 4221313 its reverse (3131224), we get a palindrome (7352537).

The spelling of 4221313 in words is "four million, two hundred twenty-one thousand, three hundred thirteen".