77130577 has 2 divisors, whose sum is σ = 77130578. Its totient is φ = 77130576.

The previous prime is 77130527. The next prime is 77130587. The reversal of 77130577 is 77503177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75411856 + 1718721 = 8684^2 + 1311^2 .

It is an emirp because it is prime and its reverse (77503177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77130577 - 2¹¹ = 77128529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77130527) 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, 38565288 + 38565289.

It is an arithmetic number, because the mean of its divisors is an integer number (38565289).

Almost surely, 2^77130577 is an apocalyptic number.

It is an amenable number.

77130577 is a deficient number, since it is larger than the sum of its proper divisors (1).

77130577 is an equidigital number, since it uses as much as digits as its factorization.

77130577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36015, while the sum is 37.

The square root of 77130577 is about 8782.4015508288. The cubic root of 77130577 is about 425.6724340159.

The spelling of 77130577 in words is "seventy-seven million, one hundred thirty thousand, five hundred seventy-seven".