712142657 has 2 divisors, whose sum is σ = 712142658. Its totient is φ = 712142656.

The previous prime is 712142623. The next prime is 712142659. The reversal of 712142657 is 756241217.

712142657 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., 467251456 + 244891201 = 21616^2 + 15649^2 .

It is a cyclic number.

It is not a de Polignac number, because 712142657 - 2²⁰ = 711094081 is a prime.

Together with 712142659, 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 (712142659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356071328 + 356071329.

It is an arithmetic number, because the mean of its divisors is an integer number (356071329).

Almost surely, 2^712142657 is an apocalyptic number.

It is an amenable number.

712142657 is a deficient number, since it is larger than the sum of its proper divisors (1).

712142657 is an equidigital number, since it uses as much as digits as its factorization.

712142657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 712142657 is about 26686.0011429214. The cubic root of 712142657 is about 893.0086525071.

The spelling of 712142657 in words is "seven hundred twelve million, one hundred forty-two thousand, six hundred fifty-seven".