329705213 has 2 divisors, whose sum is σ = 329705214. Its totient is φ = 329705212.

The previous prime is 329705203. The next prime is 329705219. The reversal of 329705213 is 312507923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329132164 + 573049 = 18142^2 + 757^2 .

It is a cyclic number.

It is not a de Polignac number, because 329705213 - 2⁴ = 329705197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 329705213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329705219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164852606 + 164852607.

It is an arithmetic number, because the mean of its divisors is an integer number (164852607).

Almost surely, 2^329705213 is an apocalyptic number.

It is an amenable number.

329705213 is a deficient number, since it is larger than the sum of its proper divisors (1).

329705213 is an equidigital number, since it uses as much as digits as its factorization.

329705213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 329705213 is about 18157.7865666496. The cubic root of 329705213 is about 690.8364937273.

It can be divided in two parts, 32970 and 5213, that added together give a palindrome (38183).

The spelling of 329705213 in words is "three hundred twenty-nine million, seven hundred five thousand, two hundred thirteen".