4221252 has 54 divisors (see below), whose sum is σ = 12417678. Its totient is φ = 1205568.

The previous prime is 4221247. The next prime is 4221263. The reversal of 4221252 is 2521224.

It can be written as a sum of positive squares in only one way, i.e., 2414916 + 1806336 = 1554^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 568 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (229957).

Almost surely, 2^4221252 is an apocalyptic number.

4221252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208839).

4221252 is an abundant number, since it is smaller than the sum of its proper divisors (8196426).

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

4221252 is a wasteful number, since it uses less digits than its factorization.

4221252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2405 counting only the distinct ones).

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

The square root of 4221252 is about 2054.5685678507. The cubic root of 4221252 is about 161.6145385247.

Adding to 4221252 its reverse (2521224), we get a palindrome (6742476).

The spelling of 4221252 in words is "four million, two hundred twenty-one thousand, two hundred fifty-two".