712009 has 4 divisors (see below), whose sum is σ = 722704. Its totient is φ = 701316.

The previous prime is 712007. The next prime is 712021. The reversal of 712009 is 900217.

712009 = T₁₁₁ + T₁₁₂ + ... + T₁₇₇.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 712009 - 2¹ = 712007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712007) 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 in 3 ways as a sum of consecutive naturals, for example, 5247 + ... + 5380.

It is an arithmetic number, because the mean of its divisors is an integer number (180676).

2⁷¹²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

712009 is a deficient number, since it is larger than the sum of its proper divisors (10695).

712009 is a wasteful number, since it uses less digits than its factorization.

712009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 712009 is about 843.8062573838. The cubic root of 712009 is about 89.2952781527.

It can be divided in two parts, 71 and 2009, that added together give a triangular number (2080 = T₆₄).

The spelling of 712009 in words is "seven hundred twelve thousand, nine".