213363 has 12 divisors (see below), whose sum is σ = 312208. Its totient is φ = 140400.

The previous prime is 213361. The next prime is 213383. The reversal of 213363 is 363312.

It is a happy number.

213363 is nontrivially palindromic in base 13.

213363 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213363 - 2¹ = 213361 is a prime.

It is a Duffinian number.

213363 is strictly pandigital in base 7.

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 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 1437.

2²¹³³⁶³ is an apocalyptic number.

213363 is a deficient number, since it is larger than the sum of its proper divisors (98845).

213363 is a wasteful number, since it uses less digits than its factorization.

213363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 213363 is about 461.9123293440. The cubic root of 213363 is about 59.7548329161.

Adding to 213363 its reverse (363312), we get a palindrome (576675).

It can be divided in two parts, 213 and 363, that added together give a square (576 = 24²).

The spelling of 213363 in words is "two hundred thirteen thousand, three hundred sixty-three".