712408129 has 2 divisors, whose sum is σ = 712408130. Its totient is φ = 712408128.

The previous prime is 712408127. The next prime is 712408157. The reversal of 712408129 is 921804217.

712408129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 668119104 + 44289025 = 25848^2 + 6655^2 .

It is a cyclic number.

It is not a de Polignac number, because 712408129 - 2¹ = 712408127 is a prime.

Together with 712408127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 712408094 and 712408103.

It is not a weakly prime, because it can be changed into another prime (712408121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356204064 + 356204065.

It is an arithmetic number, because the mean of its divisors is an integer number (356204065).

Almost surely, 2^712408129 is an apocalyptic number.

It is an amenable number.

712408129 is a deficient number, since it is larger than the sum of its proper divisors (1).

712408129 is an equidigital number, since it uses as much as digits as its factorization.

712408129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 712408129 is about 26690.9746730988. The cubic root of 712408129 is about 893.1196037511.

The spelling of 712408129 in words is "seven hundred twelve million, four hundred eight thousand, one hundred twenty-nine".