213304 has 32 divisors (see below), whose sum is σ = 493920. Its totient is φ = 84096.

The previous prime is 213289. The next prime is 213307. The reversal of 213304 is 403312.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213307) 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, 582 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2²¹³³⁰⁴ 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 213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

213304 is an abundant number, since it is smaller than the sum of its proper divisors (280616).

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

213304 is a wasteful number, since it uses less digits than its factorization.

213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 213304 is about 461.8484599953. The cubic root of 213304 is about 59.7493245257.

Adding to 213304 its reverse (403312), we get a palindrome (616616).

The spelling of 213304 in words is "two hundred thirteen thousand, three hundred four".