34035961 has 2 divisors, whose sum is σ = 34035962. Its totient is φ = 34035960.

The previous prime is 34035949. The next prime is 34035971. The reversal of 34035961 is 16953043.

34035961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17682025 + 16353936 = 4205^2 + 4044^2 .

It is an emirp because it is prime and its reverse (16953043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34035961 - 2¹³ = 34027769 is a prime.

It is not a weakly prime, because it can be changed into another prime (34035901) 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, 17017980 + 17017981.

It is an arithmetic number, because the mean of its divisors is an integer number (17017981).

Almost surely, 2^34035961 is an apocalyptic number.

It is an amenable number.

34035961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34035961 is an equidigital number, since it uses as much as digits as its factorization.

34035961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 34035961 is about 5834.0347102156. The cubic root of 34035961 is about 324.0753552563.

The spelling of 34035961 in words is "thirty-four million, thirty-five thousand, nine hundred sixty-one".