712636217 has 2 divisors, whose sum is σ = 712636218. Its totient is φ = 712636216.

The previous prime is 712636213. The next prime is 712636219.

712636217 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695957161 + 16679056 = 26381^2 + 4084^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 712636217 - 2² = 712636213 is a prime.

Together with 712636219, 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 (712636213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356318108 + 356318109.

It is an arithmetic number, because the mean of its divisors is an integer number (356318109).

Almost surely, 2^712636217 is an apocalyptic number.

It is an amenable number.

712636217 is a deficient number, since it is larger than the sum of its proper divisors (1).

712636217 is an equidigital number, since it uses as much as digits as its factorization.

712636217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

The square root of 712636217 is about 26695.2470863261. The cubic root of 712636217 is about 893.2149087312.

The spelling of 712636217 in words is "seven hundred twelve million, six hundred thirty-six thousand, two hundred seventeen".