213204 has 24 divisors (see below), whose sum is σ = 505120. Its totient is φ = 69984.

The previous prime is 213203. The next prime is 213209. The reversal of 213204 is 402312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203) 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, 1227 + ... + 1389.

2²¹³²⁰⁴ is an apocalyptic number.

It is an amenable number.

213204 is an abundant number, since it is smaller than the sum of its proper divisors (291916).

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

213204 is a wasteful number, since it uses less digits than its factorization.

213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213204 is about 461.7401866851. The cubic root of 213204 is about 59.7399859503.

Adding to 213204 its reverse (402312), we get a palindrome (615516).

The spelling of 213204 in words is "two hundred thirteen thousand, two hundred four".