34134210977 has 2 divisors, whose sum is σ = 34134210978. Its totient is φ = 34134210976.

The previous prime is 34134210959. The next prime is 34134210989. The reversal of 34134210977 is 77901243143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21204019456 + 12930191521 = 145616^2 + 113711^2 .

It is an emirp because it is prime and its reverse (77901243143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34134210977 - 2¹⁸ = 34133948833 is a prime.

It is not a weakly prime, because it can be changed into another prime (34134210907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067105488 + 17067105489.

It is an arithmetic number, because the mean of its divisors is an integer number (17067105489).

Almost surely, 2^34134210977 is an apocalyptic number.

It is an amenable number.

34134210977 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134210977 is an equidigital number, since it uses as much as digits as its factorization.

34134210977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 34134210977 in words is "thirty-four billion, one hundred thirty-four million, two hundred ten thousand, nine hundred seventy-seven".