77664113 has 2 divisors, whose sum is σ = 77664114. Its totient is φ = 77664112.

The previous prime is 77664107. The next prime is 77664151. The reversal of 77664113 is 31146677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77651344 + 12769 = 8812^2 + 113^2 .

It is an emirp because it is prime and its reverse (31146677) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77664113 - 2⁸ = 77663857 is a prime.

It is not a weakly prime, because it can be changed into another prime (77660113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38832056 + 38832057.

It is an arithmetic number, because the mean of its divisors is an integer number (38832057).

Almost surely, 2^77664113 is an apocalyptic number.

It is an amenable number.

77664113 is a deficient number, since it is larger than the sum of its proper divisors (1).

77664113 is an equidigital number, since it uses as much as digits as its factorization.

77664113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21168, while the sum is 35.

The square root of 77664113 is about 8812.7244935945. The cubic root of 77664113 is about 426.6516820774.

It can be divided in two parts, 77664 and 113, that added together give a palindrome (77777).

The spelling of 77664113 in words is "seventy-seven million, six hundred sixty-four thousand, one hundred thirteen".