213367 has 16 divisors (see below), whose sum is σ = 283392. Its totient is φ = 155520.

The previous prime is 213361. The next prime is 213383. The reversal of 213367 is 763312.

It is a cyclic number.

It is not a de Polignac number, because 213367 - 2³ = 213359 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (17712).

2²¹³³⁶⁷ is an apocalyptic number.

213367 is a deficient number, since it is larger than the sum of its proper divisors (70025).

213367 is a wasteful number, since it uses less digits than its factorization.

213367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 756, while the sum is 22.

The square root of 213367 is about 461.9166591497. The cubic root of 213367 is about 59.7552063296.

Adding to 213367 its reverse (763312), we get a palindrome (976679).

Subtracting 213367 from its reverse (763312), we obtain a palindrome (549945).

It can be divided in two parts, 21 and 3367, that multiplied together give a palindrome (70707).

The spelling of 213367 in words is "two hundred thirteen thousand, three hundred sixty-seven".