65656961 has 2 divisors, whose sum is σ = 65656962. Its totient is φ = 65656960.

The previous prime is 65656939. The next prime is 65656963. The reversal of 65656961 is 16965656.

65656961 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., 61716736 + 3940225 = 7856^2 + 1985^2 .

It is a cyclic number.

It is not a de Polignac number, because 65656961 - 2¹⁰ = 65655937 is a prime.

Together with 65656963, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (65656963) 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, 32828480 + 32828481.

It is an arithmetic number, because the mean of its divisors is an integer number (32828481).

Almost surely, 2^65656961 is an apocalyptic number.

It is an amenable number.

65656961 is a deficient number, since it is larger than the sum of its proper divisors (1).

65656961 is an equidigital number, since it uses as much as digits as its factorization.

65656961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 291600, while the sum is 44.

The square root of 65656961 is about 8102.8983086301. The cubic root of 65656961 is about 403.4226325205.

The spelling of 65656961 in words is "sixty-five million, six hundred fifty-six thousand, nine hundred sixty-one".