729000361 has 2 divisors, whose sum is σ = 729000362. Its totient is φ = 729000360.

The previous prime is 729000353. The next prime is 729000383. The reversal of 729000361 is 163000927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 729000000 + 361 = 27000^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 729000361 - 2³ = 729000353 is a prime.

It is not a weakly prime, because it can be changed into another prime (729000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364500180 + 364500181.

It is an arithmetic number, because the mean of its divisors is an integer number (364500181).

Almost surely, 2^729000361 is an apocalyptic number.

It is an amenable number.

729000361 is a deficient number, since it is larger than the sum of its proper divisors (1).

729000361 is an equidigital number, since it uses as much as digits as its factorization.

729000361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 729000361 is about 27000.0066851844. The cubic root of 729000361 is about 900.0001485596. Note that the first 3 decimals are identical.

The spelling of 729000361 in words is "seven hundred twenty-nine million, three hundred sixty-one", and thus it is an aban number.