213364 has 12 divisors (see below), whose sum is σ = 382788. Its totient is φ = 104000.

The previous prime is 213361. The next prime is 213383. The reversal of 213364 is 463312.

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 209764 = 60^2 + 458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213361) 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, 487 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2²¹³³⁶⁴ is an apocalyptic number.

It is an amenable number.

213364 is a deficient number, since it is larger than the sum of its proper divisors (169424).

213364 is a wasteful number, since it uses less digits than its factorization.

213364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 213364 is about 461.9134117992. The cubic root of 213364 is about 59.7549262699.

Adding to 213364 its reverse (463312), we get a palindrome (676676).

It can be divided in two parts, 2133 and 64, that added together give a cube (2197 = 13³).

The spelling of 213364 in words is "two hundred thirteen thousand, three hundred sixty-four".