34009961 has 2 divisors, whose sum is σ = 34009962. Its totient is φ = 34009960.

The previous prime is 34009957. The next prime is 34009991. The reversal of 34009961 is 16990043.

34009961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26584336 + 7425625 = 5156^2 + 2725^2 .

It is a cyclic number.

It is not a de Polignac number, because 34009961 - 2² = 34009957 is a prime.

It is not a weakly prime, because it can be changed into another prime (34009931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17004980 + 17004981.

It is an arithmetic number, because the mean of its divisors is an integer number (17004981).

Almost surely, 2^34009961 is an apocalyptic number.

It is an amenable number.

34009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34009961 is an equidigital number, since it uses as much as digits as its factorization.

34009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 34009961 is about 5831.8059809977. The cubic root of 34009961 is about 323.9928140712.

The spelling of 34009961 in words is "thirty-four million, nine thousand, nine hundred sixty-one".