34106129 has 2 divisors, whose sum is σ = 34106130. Its totient is φ = 34106128.

The previous prime is 34106113. The next prime is 34106141. The reversal of 34106129 is 92160143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34105600 + 529 = 5840^2 + 23^2 .

It is an emirp because it is prime and its reverse (92160143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34106129 - 2⁴ = 34106113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34106098 and 34106107.

It is not a weakly prime, because it can be changed into another prime (34106329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17053064 + 17053065.

It is an arithmetic number, because the mean of its divisors is an integer number (17053065).

Almost surely, 2^34106129 is an apocalyptic number.

It is an amenable number.

34106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34106129 is an equidigital number, since it uses as much as digits as its factorization.

34106129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 34106129 is about 5840.0452909203. The cubic root of 34106129 is about 324.2979052702.

The spelling of 34106129 in words is "thirty-four million, one hundred six thousand, one hundred twenty-nine".