4213584 has 60 divisors (see below), whose sum is σ = 12210900. Its totient is φ = 1354752.

The previous prime is 4213567. The next prime is 4213589. The reversal of 4213584 is 4853124.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 2471184 = 1320^2 + 1572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213589) 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 11 ways as a sum of consecutive naturals, for example, 3672 + ... + 4680.

It is an arithmetic number, because the mean of its divisors is an integer number (203515).

Almost surely, 2^4213584 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 4213584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105450).

4213584 is an abundant number, since it is smaller than the sum of its proper divisors (7997316).

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

4213584 is a wasteful number, since it uses less digits than its factorization.

4213584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1043 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4213584 is about 2052.7016344320. The cubic root of 4213584 is about 161.5166203856.

It can be divided in two parts, 421 and 3584, that added together give a triangular number (4005 = T₈₉).

The spelling of 4213584 in words is "four million, two hundred thirteen thousand, five hundred eighty-four".