727609 has 3 divisors (see below), whose sum is σ = 728463. Its totient is φ = 726756.

The previous prime is 727589. The next prime is 727613. The reversal of 727609 is 906727.

It is a happy number.

The square root of 727609 is 853.

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

727609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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., 42025 + 685584 = 205^2 + 828^2 .

It is not a de Polignac number, because 727609 - 2⁵ = 727577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727009) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 427 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (242821).

2⁷²⁷⁶⁰⁹ is an apocalyptic number.

727609 is the 853-rd square number.

727609 is the 427-th centered octagonal number.

It is an amenable number.

727609 is a deficient number, since it is larger than the sum of its proper divisors (854).

727609 is an frugal number, since it uses more digits than its factorization.

727609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The cubic root of 727609 is about 89.9427207548.

The spelling of 727609 in words is "seven hundred twenty-seven thousand, six hundred nine".