712116641 has 2 divisors, whose sum is σ = 712116642. Its totient is φ = 712116640.

The previous prime is 712116619. The next prime is 712116649. The reversal of 712116641 is 146611217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 711342241 + 774400 = 26671^2 + 880^2 .

It is an emirp because it is prime and its reverse (146611217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712116641 - 2¹⁸ = 711854497 is a prime.

It is a super-2 number, since 2×712116641² = 1014220220778245762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (712116649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356058320 + 356058321.

It is an arithmetic number, because the mean of its divisors is an integer number (356058321).

Almost surely, 2^712116641 is an apocalyptic number.

It is an amenable number.

712116641 is a deficient number, since it is larger than the sum of its proper divisors (1).

712116641 is an equidigital number, since it uses as much as digits as its factorization.

712116641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 29.

The square root of 712116641 is about 26685.5136918891. The cubic root of 712116641 is about 892.9977779088.

Adding to 712116641 its reverse (146611217), we get a palindrome (858727858).

The spelling of 712116641 in words is "seven hundred twelve million, one hundred sixteen thousand, six hundred forty-one".