727214967361 has 3 divisors (see below), whose sum is σ = 727215820131. Its totient is φ = 727214114592.

The previous prime is 727214967341. The next prime is 727214967389. The reversal of 727214967361 is 163769412727.

The square root of 727214967361 is 852769.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 657265296961 + 69949670400 = 810719^2 + 264480^2 .

It is not a de Polignac number, because 727214967361 - 2⁷ = 727214967233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727214967341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 426385 + ... + 1279153.

It is an arithmetic number, because the mean of its divisors is an integer number (242405273377).

Almost surely, 2^727214967361 is an apocalyptic number.

727214967361 is the 852769-th square number.

727214967361 is the 426385-th centered octagonal number.

It is an amenable number.

727214967361 is a deficient number, since it is larger than the sum of its proper divisors (852770).

727214967361 is an frugal number, since it uses more digits than its factorization.

727214967361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705538 (or 852769 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 55.

The spelling of 727214967361 in words is "seven hundred twenty-seven billion, two hundred fourteen million, nine hundred sixty-seven thousand, three hundred sixty-one".