213324 has 24 divisors (see below), whose sum is σ = 515760. Its totient is φ = 68544.

The previous prime is 213319. The next prime is 213329. The reversal of 213324 is 423312.

It is an interprime number because it is at equal distance from previous prime (213319) and next prime (213329).

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

It is not an unprimeable number, because it can be changed into a prime (213329) 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (21490).

2²¹³³²⁴ 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 213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257880).

213324 is an abundant number, since it is smaller than the sum of its proper divisors (302436).

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

213324 is a wasteful number, since it uses less digits than its factorization.

213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 213324 is about 461.8701116115. The cubic root of 213324 is about 59.7511918905.

Adding to 213324 its reverse (423312), we get a palindrome (636636).

The spelling of 213324 in words is "two hundred thirteen thousand, three hundred twenty-four".