712364589 has 12 divisors (see below), whose sum is σ = 1056781596. Its totient is φ = 462074112.

The previous prime is 712364581. The next prime is 712364603. The reversal of 712364589 is 985463217.

712364589 is a `hidden beast` number, since 7 + 1 + 2 + 3 + 64 + 589 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 667808964 + 44555625 = 25842^2 + 6675^2 .

It is not a de Polignac number, because 712364589 - 2³ = 712364581 is a prime.

It is a super-3 number, since 3×712364589³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712364581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069284 + ... + 1069949.

It is an arithmetic number, because the mean of its divisors is an integer number (88065133).

Almost surely, 2^712364589 is an apocalyptic number.

It is an amenable number.

712364589 is a deficient number, since it is larger than the sum of its proper divisors (344417007).

712364589 is a wasteful number, since it uses less digits than its factorization.

712364589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139276 (or 2139273 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 712364589 is about 26690.1590291253. The cubic root of 712364589 is about 893.1014085536.

The spelling of 712364589 in words is "seven hundred twelve million, three hundred sixty-four thousand, five hundred eighty-nine".