213361 has 2 divisors, whose sum is σ = 213362. Its totient is φ = 213360.

The previous prime is 213359. The next prime is 213383. The reversal of 213361 is 163312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 53361 = 400^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 213361 - 2¹ = 213359 is a prime.

Together with 213359, it forms a pair of twin primes.

213361 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (213391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106680 + 106681.

It is an arithmetic number, because the mean of its divisors is an integer number (106681).

2²¹³³⁶¹ is an apocalyptic number.

It is an amenable number.

213361 is a deficient number, since it is larger than the sum of its proper divisors (1).

213361 is an equidigital number, since it uses as much as digits as its factorization.

213361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108, while the sum is 16.

The square root of 213361 is about 461.9101644259. The cubic root of 213361 is about 59.7546462077.

Adding to 213361 its reverse (163312), we get a palindrome (376673).

The spelling of 213361 in words is "two hundred thirteen thousand, three hundred sixty-one".