77216017 has 2 divisors, whose sum is σ = 77216018. Its totient is φ = 77216016.

The previous prime is 77215993. The next prime is 77216021. The reversal of 77216017 is 71061277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76807696 + 408321 = 8764^2 + 639^2 .

It is a cyclic number.

It is not a de Polignac number, because 77216017 - 2⁷ = 77215889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77216017.

It is not a weakly prime, because it can be changed into another prime (77216047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38608008 + 38608009.

It is an arithmetic number, because the mean of its divisors is an integer number (38608009).

Almost surely, 2^77216017 is an apocalyptic number.

It is an amenable number.

77216017 is a deficient number, since it is larger than the sum of its proper divisors (1).

77216017 is an equidigital number, since it uses as much as digits as its factorization.

77216017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 77216017 is about 8787.2644776404. The cubic root of 77216017 is about 425.8295529919.

The spelling of 77216017 in words is "seventy-seven million, two hundred sixteen thousand, seventeen".