34001029 has 2 divisors, whose sum is σ = 34001030. Its totient is φ = 34001028.

The previous prime is 34000999. The next prime is 34001041. The reversal of 34001029 is 92010043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33005025 + 996004 = 5745^2 + 998^2 .

It is an emirp because it is prime and its reverse (92010043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34001029 - 2⁵ = 34000997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000997 and 34001015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000514 + 17000515.

It is an arithmetic number, because the mean of its divisors is an integer number (17000515).

Almost surely, 2^34001029 is an apocalyptic number.

It is an amenable number.

34001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001029 is an equidigital number, since it uses as much as digits as its factorization.

34001029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 34001029 is about 5831.0401301998. The cubic root of 34001029 is about 323.9644482914.

The spelling of 34001029 in words is "thirty-four million, one thousand, twenty-nine".