77105681 has 2 divisors, whose sum is σ = 77105682. Its totient is φ = 77105680.

The previous prime is 77105671. The next prime is 77105689. The reversal of 77105681 is 18650177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63856081 + 13249600 = 7991^2 + 3640^2 .

It is a cyclic number.

It is not a de Polignac number, because 77105681 - 2²⁶ = 9996817 is a prime.

It is a super-2 number, since 2×77105681² = 11890572084947522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (77105689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38552840 + 38552841.

It is an arithmetic number, because the mean of its divisors is an integer number (38552841).

Almost surely, 2^77105681 is an apocalyptic number.

It is an amenable number.

77105681 is a deficient number, since it is larger than the sum of its proper divisors (1).

77105681 is an equidigital number, since it uses as much as digits as its factorization.

77105681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 77105681 is about 8780.9840564711. The cubic root of 77105681 is about 425.6266299533.

The spelling of 77105681 in words is "seventy-seven million, one hundred five thousand, six hundred eighty-one".