213329 has 2 divisors, whose sum is σ = 213330. Its totient is φ = 213328.

The previous prime is 213319. The next prime is 213337. The reversal of 213329 is 923312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 9025 = 452^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 213329 - 2¹² = 209233 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213329.

It is not a weakly prime, because it can be changed into another prime (213319) 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 as a sum of consecutive naturals, namely, 106664 + 106665.

It is an arithmetic number, because the mean of its divisors is an integer number (106665).

2²¹³³²⁹ is an apocalyptic number.

It is an amenable number.

213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213329 is an equidigital number, since it uses as much as digits as its factorization.

213329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 20.

The square root of 213329 is about 461.8755243569. The cubic root of 213329 is about 59.7516587134.

It can be divided in two parts, 2 and 13329, that added together give a palindrome (13331).

The spelling of 213329 in words is "two hundred thirteen thousand, three hundred twenty-nine".