712923257 has 2 divisors, whose sum is σ = 712923258. Its totient is φ = 712923256.

The previous prime is 712923247. The next prime is 712923311. The reversal of 712923257 is 752329217.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430313536 + 282609721 = 20744^2 + 16811^2 .

It is an emirp because it is prime and its reverse (752329217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712923257 - 2⁴ = 712923241 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712923257.

It is not a weakly prime, because it can be changed into another prime (712923217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356461628 + 356461629.

It is an arithmetic number, because the mean of its divisors is an integer number (356461629).

Almost surely, 2^712923257 is an apocalyptic number.

It is an amenable number.

712923257 is a deficient number, since it is larger than the sum of its proper divisors (1).

712923257 is an equidigital number, since it uses as much as digits as its factorization.

712923257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 712923257 is about 26700.6227829989. The cubic root of 712923257 is about 893.3348174990.

The spelling of 712923257 in words is "seven hundred twelve million, nine hundred twenty-three thousand, two hundred fifty-seven".