712408121 has 2 divisors, whose sum is σ = 712408122. Its totient is φ = 712408120.

The previous prime is 712408063. The next prime is 712408127. The reversal of 712408121 is 121804217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 482461225 + 229946896 = 21965^2 + 15164^2 .

It is a cyclic number.

It is not a de Polignac number, because 712408121 - 2²⁶ = 645299257 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (712408127) 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, 356204060 + 356204061.

It is an arithmetic number, because the mean of its divisors is an integer number (356204061).

Almost surely, 2^712408121 is an apocalyptic number.

It is an amenable number.

712408121 is a deficient number, since it is larger than the sum of its proper divisors (1).

712408121 is an equidigital number, since it uses as much as digits as its factorization.

712408121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 712408121 is about 26690.9745232354. The cubic root of 712408121 is about 893.1196004080.

The spelling of 712408121 in words is "seven hundred twelve million, four hundred eight thousand, one hundred twenty-one".