727905041 has 2 divisors, whose sum is σ = 727905042. Its totient is φ = 727905040.

The previous prime is 727905001. The next prime is 727905043. The reversal of 727905041 is 140509727.

727905041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 691953025 + 35952016 = 26305^2 + 5996^2 .

It is a cyclic number.

It is not a de Polignac number, because 727905041 - 2²² = 723710737 is a prime.

Together with 727905043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 727904992 and 727905010.

It is not a weakly prime, because it can be changed into another prime (727905043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363952520 + 363952521.

It is an arithmetic number, because the mean of its divisors is an integer number (363952521).

Almost surely, 2^727905041 is an apocalyptic number.

It is an amenable number.

727905041 is a deficient number, since it is larger than the sum of its proper divisors (1).

727905041 is an equidigital number, since it uses as much as digits as its factorization.

727905041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 727905041 is about 26979.7153617306. The cubic root of 727905041 is about 899.5491737992.

The spelling of 727905041 in words is "seven hundred twenty-seven million, nine hundred five thousand, forty-one".