129131617 has 2 divisors, whose sum is σ = 129131618. Its totient is φ = 129131616.

The previous prime is 129131603. The next prime is 129131621. The reversal of 129131617 is 716131921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104121616 + 25010001 = 10204^2 + 5001^2 .

It is an emirp because it is prime and its reverse (716131921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 129131617 - 2⁷ = 129131489 is a prime.

It is not a weakly prime, because it can be changed into another prime (129131917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64565808 + 64565809.

It is an arithmetic number, because the mean of its divisors is an integer number (64565809).

Almost surely, 2^129131617 is an apocalyptic number.

It is an amenable number.

129131617 is a deficient number, since it is larger than the sum of its proper divisors (1).

129131617 is an equidigital number, since it uses as much as digits as its factorization.

129131617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 31.

The square root of 129131617 is about 11363.6093297860. The cubic root of 129131617 is about 505.4492189470.

The spelling of 129131617 in words is "one hundred twenty-nine million, one hundred thirty-one thousand, six hundred seventeen".