34004100181 has 2 divisors, whose sum is σ = 34004100182. Its totient is φ = 34004100180.

The previous prime is 34004100131. The next prime is 34004100209. The reversal of 34004100181 is 18100140043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26362717956 + 7641382225 = 162366^2 + 87415^2 .

It is an emirp because it is prime and its reverse (18100140043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34004100181 is a prime.

It is a super-2 number, since 2×34004100181² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34004100131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17002050090 + 17002050091.

It is an arithmetic number, because the mean of its divisors is an integer number (17002050091).

Almost surely, 2^34004100181 is an apocalyptic number.

It is an amenable number.

34004100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004100181 is an equidigital number, since it uses as much as digits as its factorization.

34004100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 34004100181 in words is "thirty-four billion, four million, one hundred thousand, one hundred eighty-one".