34034129 has 2 divisors, whose sum is σ = 34034130. Its totient is φ = 34034128.

The previous prime is 34034087. The next prime is 34034171. The reversal of 34034129 is 92143043.

It is a balanced prime because it is at equal distance from previous prime (34034087) and next prime (34034171).

It can be written as a sum of positive squares in only one way, i.e., 29953729 + 4080400 = 5473^2 + 2020^2 .

It is a cyclic number.

It is not a de Polignac number, because 34034129 - 2²⁴ = 17256913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34034098 and 34034107.

It is not a weakly prime, because it can be changed into another prime (34034179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17017064 + 17017065.

It is an arithmetic number, because the mean of its divisors is an integer number (17017065).

Almost surely, 2^34034129 is an apocalyptic number.

It is an amenable number.

34034129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34034129 is an equidigital number, since it uses as much as digits as its factorization.

34034129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34034129 is about 5833.8776984095. The cubic root of 34034129 is about 324.0695406543.

The spelling of 34034129 in words is "thirty-four million, thirty-four thousand, one hundred twenty-nine".