65616641 has 2 divisors, whose sum is σ = 65616642. Its totient is φ = 65616640.

The previous prime is 65616637. The next prime is 65616643. The reversal of 65616641 is 14661656.

65616641 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., 65529025 + 87616 = 8095^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 65616641 - 2² = 65616637 is a prime.

It is a super-2 number, since 2×65616641² = 8611087152245762, which contains 22 as substring.

Together with 65616643, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_3874805 and since 65616641 and 3874805 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (65616643) 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, 32808320 + 32808321.

It is an arithmetic number, because the mean of its divisors is an integer number (32808321).

Almost surely, 2^65616641 is an apocalyptic number.

It is an amenable number.

65616641 is a deficient number, since it is larger than the sum of its proper divisors (1).

65616641 is an equidigital number, since it uses as much as digits as its factorization.

65616641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The square root of 65616641 is about 8100.4099278987. The cubic root of 65616641 is about 403.3400348741.

The spelling of 65616641 in words is "sixty-five million, six hundred sixteen thousand, six hundred forty-one".