729977 has 2 divisors, whose sum is σ = 729978. Its totient is φ = 729976.

The previous prime is 729947. The next prime is 729979. The reversal of 729977 is 779927.

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., 724201 + 5776 = 851^2 + 76^2 .

It is an emirp because it is prime and its reverse (779927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729977 - 2⁶ = 729913 is a prime.

Together with 729979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (729979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364988 + 364989.

It is an arithmetic number, because the mean of its divisors is an integer number (364989).

2⁷²⁹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

729977 is a deficient number, since it is larger than the sum of its proper divisors (1).

729977 is an equidigital number, since it uses as much as digits as its factorization.

729977 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 729977 is about 854.3869146938. The cubic root of 729977 is about 90.0401878135.

The spelling of 729977 in words is "seven hundred twenty-nine thousand, nine hundred seventy-seven".