4221405 has 12 divisors (see below), whose sum is σ = 7317180. Its totient is φ = 2251392.

The previous prime is 4221379. The next prime is 4221407. The reversal of 4221405 is 5041224.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 1172889 = 1746^2 + 1083^2 .

It is not a de Polignac number, because 4221405 - 2⁹ = 4220893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46860 + ... + 46949.

It is an arithmetic number, because the mean of its divisors is an integer number (609765).

Almost surely, 2^4221405 is an apocalyptic number.

4221405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4221405 is a deficient number, since it is larger than the sum of its proper divisors (3095775).

4221405 is a wasteful number, since it uses less digits than its factorization.

4221405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93820 (or 93817 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4221405 is about 2054.6058016077. The cubic root of 4221405 is about 161.6164910833.

Adding to 4221405 its reverse (5041224), we get a palindrome (9262629).

The spelling of 4221405 in words is "four million, two hundred twenty-one thousand, four hundred five".