34072769 has 2 divisors, whose sum is σ = 34072770. Its totient is φ = 34072768.

The previous prime is 34072747. The next prime is 34072771. The reversal of 34072769 is 96727043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23425600 + 10647169 = 4840^2 + 3263^2 .

It is a cyclic number.

It is not a de Polignac number, because 34072769 - 2²⁰ = 33024193 is a prime.

It is a super-2 number, since 2×34072769² = 2321907174654722, which contains 22 as substring.

Together with 34072771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34072739) 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, 17036384 + 17036385.

It is an arithmetic number, because the mean of its divisors is an integer number (17036385).

Almost surely, 2^34072769 is an apocalyptic number.

It is an amenable number.

34072769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34072769 is an equidigital number, since it uses as much as digits as its factorization.

34072769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 34072769 is about 5837.1884499303. The cubic root of 34072769 is about 324.1921363302.

The spelling of 34072769 in words is "thirty-four million, seventy-two thousand, seven hundred sixty-nine".