213584 has 20 divisors (see below), whose sum is σ = 473184. Its totient is φ = 91488.

The previous prime is 213557. The next prime is 213589. The reversal of 213584 is 485312.

Added to its reverse (485312) it gives a square (698896 = 836²).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 842 + ... + 1065.

2²¹³⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

213584 is an abundant number, since it is smaller than the sum of its proper divisors (259600).

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

213584 is a wasteful number, since it uses less digits than its factorization.

213584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 213584 is about 462.1514903146. The cubic root of 213584 is about 59.7754570187.

Adding to 213584 its reverse (485312), we get a palindrome (698896).

It can be divided in two parts, 213 and 584, that added together give a palindrome (797).

The spelling of 213584 in words is "two hundred thirteen thousand, five hundred eighty-four".