712889 has 2 divisors, whose sum is σ = 712890. Its totient is φ = 712888.

The previous prime is 712883. The next prime is 712891. The reversal of 712889 is 988217.

It is a happy number.

712889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 652864 + 60025 = 808^2 + 245^2 .

It is an emirp because it is prime and its reverse (988217) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-712889 is a prime.

Together with 712891, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (712883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356444 + 356445.

It is an arithmetic number, because the mean of its divisors is an integer number (356445).

2⁷¹²⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

712889 is a deficient number, since it is larger than the sum of its proper divisors (1).

712889 is an equidigital number, since it uses as much as digits as its factorization.

712889 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 35.

The square root of 712889 is about 844.3275430779. The cubic root of 712889 is about 89.3320508590.

The spelling of 712889 in words is "seven hundred twelve thousand, eight hundred eighty-nine".