729666961 has 2 divisors, whose sum is σ = 729666962. Its totient is φ = 729666960.

The previous prime is 729666913. The next prime is 729667007. The reversal of 729666961 is 169666927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696960000 + 32706961 = 26400^2 + 5719^2 .

It is a cyclic number.

It is not a de Polignac number, because 729666961 - 2¹⁷ = 729535889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 729666899 and 729666908.

It is not a weakly prime, because it can be changed into another prime (729669961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364833480 + 364833481.

It is an arithmetic number, because the mean of its divisors is an integer number (364833481).

Almost surely, 2^729666961 is an apocalyptic number.

It is an amenable number.

729666961 is a deficient number, since it is larger than the sum of its proper divisors (1).

729666961 is an equidigital number, since it uses as much as digits as its factorization.

729666961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1469664, while the sum is 52.

The square root of 729666961 is about 27012.3483059137. The cubic root of 729666961 is about 900.2743858859.

The spelling of 729666961 in words is "seven hundred twenty-nine million, six hundred sixty-six thousand, nine hundred sixty-one".