4213224 has 48 divisors (see below), whose sum is σ = 11512800. Its totient is φ = 1391904.

The previous prime is 4213217. The next prime is 4213277. The reversal of 4213224 is 4223124.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4213197 and 4213206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11557 + ... + 11915.

It is an arithmetic number, because the mean of its divisors is an integer number (239850).

Almost surely, 2^4213224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756400).

4213224 is an abundant number, since it is smaller than the sum of its proper divisors (7299576).

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

4213224 is a wasteful number, since it uses less digits than its factorization.

4213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4213224 is about 2052.6139432441. The cubic root of 4213224 is about 161.5120203714.

Adding to 4213224 its reverse (4223124), we get a palindrome (8436348).

The spelling of 4213224 in words is "four million, two hundred thirteen thousand, two hundred twenty-four".