4213024 has 36 divisors (see below), whose sum is σ = 8633142. Its totient is φ = 2023680.

The previous prime is 4213019. The next prime is 4213031. The reversal of 4213024 is 4203124.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 753424 = 1860^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4212989 and 4213007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30684 + ... + 30820.

Almost surely, 2^4213024 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 4213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316571).

4213024 is an abundant number, since it is smaller than the sum of its proper divisors (4420118).

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

4213024 is a wasteful number, since it uses less digits than its factorization.

4213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4213024 is about 2052.5652242986. The cubic root of 4213024 is about 161.5094646947.

Adding to 4213024 its reverse (4203124), we get a palindrome (8416148).

The spelling of 4213024 in words is "four million, two hundred thirteen thousand, twenty-four".