77605361 has 2 divisors, whose sum is σ = 77605362. Its totient is φ = 77605360.

The previous prime is 77605331. The next prime is 77605373. The reversal of 77605361 is 16350677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77088400 + 516961 = 8780^2 + 719^2 .

It is a cyclic number.

It is not a de Polignac number, because 77605361 - 2¹⁴ = 77588977 is a prime.

It is not a weakly prime, because it can be changed into another prime (77605301) 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, 38802680 + 38802681.

It is an arithmetic number, because the mean of its divisors is an integer number (38802681).

Almost surely, 2^77605361 is an apocalyptic number.

It is an amenable number.

77605361 is a deficient number, since it is larger than the sum of its proper divisors (1).

77605361 is an equidigital number, since it uses as much as digits as its factorization.

77605361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 77605361 is about 8809.3905010506. The cubic root of 77605361 is about 426.5440692551.

The spelling of 77605361 in words is "seventy-seven million, six hundred five thousand, three hundred sixty-one".