712729809 has 27 divisors (see below), whose sum is σ = 1132998139. Its totient is φ = 431423520.

The previous prime is 712729789. The next prime is 712729873. The reversal of 712729809 is 908927217.

The square root of 712729809 is 26697.

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

It can be written as a sum of positive squares in only one way, i.e., 627352209 + 85377600 = 25047^2 + 9240^2 .

It is not a de Polignac number, because 712729809 - 2²⁵ = 679175377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712729109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 880597 + ... + 881405.

Almost surely, 2^712729809 is an apocalyptic number.

712729809 is the 26697-th square number.

712729809 is the 13349-th centered octagonal number.

It is an amenable number.

712729809 is a deficient number, since it is larger than the sum of its proper divisors (420268330).

712729809 is an equidigital number, since it uses as much as digits as its factorization.

712729809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The cubic root of 712729809 is about 893.2540096116.

The spelling of 712729809 in words is "seven hundred twelve million, seven hundred twenty-nine thousand, eight hundred nine".