329724961 has 2 divisors, whose sum is σ = 329724962. Its totient is φ = 329724960.

The previous prime is 329724953. The next prime is 329724971. The reversal of 329724961 is 169427923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315737361 + 13987600 = 17769^2 + 3740^2 .

It is a cyclic number.

It is not a de Polignac number, because 329724961 - 2³ = 329724953 is a prime.

It is not a weakly prime, because it can be changed into another prime (329724971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164862480 + 164862481.

It is an arithmetic number, because the mean of its divisors is an integer number (164862481).

Almost surely, 2^329724961 is an apocalyptic number.

It is an amenable number.

329724961 is a deficient number, since it is larger than the sum of its proper divisors (1).

329724961 is an equidigital number, since it uses as much as digits as its factorization.

329724961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 43.

The square root of 329724961 is about 18158.3303472538. The cubic root of 329724961 is about 690.8502862164.

The spelling of 329724961 in words is "three hundred twenty-nine million, seven hundred twenty-four thousand, nine hundred sixty-one".