34768541 has 2 divisors, whose sum is σ = 34768542. Its totient is φ = 34768540.

The previous prime is 34768507. The next prime is 34768561. The reversal of 34768541 is 14586743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33304441 + 1464100 = 5771^2 + 1210^2 .

It is an emirp because it is prime and its reverse (14586743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34768541 - 2¹⁰ = 34767517 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34768495 and 34768504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34768501) 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, 17384270 + 17384271.

It is an arithmetic number, because the mean of its divisors is an integer number (17384271).

Almost surely, 2^34768541 is an apocalyptic number.

It is an amenable number.

34768541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34768541 is an equidigital number, since it uses as much as digits as its factorization.

34768541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 38.

The square root of 34768541 is about 5896.4854786559. The cubic root of 34768541 is about 326.3839711477.

The spelling of 34768541 in words is "thirty-four million, seven hundred sixty-eight thousand, five hundred forty-one".