34859101657 has 2 divisors, whose sum is σ = 34859101658. Its totient is φ = 34859101656.

The previous prime is 34859101649. The next prime is 34859101687. The reversal of 34859101657 is 75610195843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34425462681 + 433638976 = 185541^2 + 20824^2 .

It is a cyclic number.

It is not a de Polignac number, because 34859101657 - 2³ = 34859101649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34859101657.

It is not a weakly prime, because it can be changed into another prime (34859101687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17429550828 + 17429550829.

It is an arithmetic number, because the mean of its divisors is an integer number (17429550829).

Almost surely, 2^34859101657 is an apocalyptic number.

It is an amenable number.

34859101657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34859101657 is an equidigital number, since it uses as much as digits as its factorization.

34859101657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 34859101657 in words is "thirty-four billion, eight hundred fifty-nine million, one hundred one thousand, six hundred fifty-seven".