727997 has 2 divisors, whose sum is σ = 727998. Its totient is φ = 727996.

The previous prime is 727981. The next prime is 728003. The reversal of 727997 is 799727.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 326041 = 634^2 + 571^2 .

It is an emirp because it is prime and its reverse (799727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 727997 - 2⁴ = 727981 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727297) 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, 363998 + 363999.

It is an arithmetic number, because the mean of its divisors is an integer number (363999).

2⁷²⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

727997 is a deficient number, since it is larger than the sum of its proper divisors (1).

727997 is an equidigital number, since it uses as much as digits as its factorization.

727997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55566, while the sum is 41.

The square root of 727997 is about 853.2274022791. The cubic root of 727997 is about 89.9587053355.

The spelling of 727997 in words is "seven hundred twenty-seven thousand, nine hundred ninety-seven".