4221320 has 16 divisors (see below), whose sum is σ = 9498060. Its totient is φ = 1688512.

The previous prime is 4221313. The next prime is 4221323. The reversal of 4221320 is 231224.

It can be written as a sum of positive squares in 2 ways, for example, as 4072324 + 148996 = 2018^2 + 386^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4221295 and 4221304.

It is not an unprimeable number, because it can be changed into a prime (4221323) 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 in 3 ways as a sum of consecutive naturals, for example, 52727 + ... + 52806.

Almost surely, 2^4221320 is an apocalyptic number.

4221320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221320 is an abundant number, since it is smaller than the sum of its proper divisors (5276740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4221320 is a wasteful number, since it uses less digits than its factorization.

4221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105544 (or 105540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4221320 is about 2054.5851162704. The cubic root of 4221320 is about 161.6154063343.

Subtracting from 4221320 its product of nonzero digits (96), we obtain a palindrome (4221224).

Adding to 4221320 its reverse (231224), we get a palindrome (4452544).

It can be divided in two parts, 422 and 1320, that multiplied together give a triangular number (557040 = T₁₀₅₅).

The spelling of 4221320 in words is "four million, two hundred twenty-one thousand, three hundred twenty".