712809 has 6 divisors (see below), whose sum is σ = 1029626. Its totient is φ = 475200.

The previous prime is 712807. The next prime is 712819. The reversal of 712809 is 908217.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 27225 = 828^2 + 165^2 .

It is not a de Polignac number, because 712809 - 2¹ = 712807 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712809.

It is not an unprimeable number, because it can be changed into a prime (712807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39592 + ... + 39609.

2⁷¹²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

712809 is a deficient number, since it is larger than the sum of its proper divisors (316817).

712809 is a wasteful number, since it uses less digits than its factorization.

712809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79207 (or 79204 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 712809 is about 844.2801667693. The cubic root of 712809 is about 89.3287091366.

It can be divided in two parts, 71280 and 9, that added together give a square (71289 = 267²).

The spelling of 712809 in words is "seven hundred twelve thousand, eight hundred nine".