77937073 has 2 divisors, whose sum is σ = 77937074. Its totient is φ = 77937072.

The previous prime is 77937043. The next prime is 77937089. The reversal of 77937073 is 37073977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61355889 + 16581184 = 7833^2 + 4072^2 .

It is a cyclic number.

It is not a de Polignac number, because 77937073 - 2⁹ = 77936561 is a prime.

It is not a weakly prime, because it can be changed into another prime (77937043) 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, 38968536 + 38968537.

It is an arithmetic number, because the mean of its divisors is an integer number (38968537).

Almost surely, 2^77937073 is an apocalyptic number.

It is an amenable number.

77937073 is a deficient number, since it is larger than the sum of its proper divisors (1).

77937073 is an equidigital number, since it uses as much as digits as its factorization.

77937073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194481, while the sum is 43.

The square root of 77937073 is about 8828.1976076660. The cubic root of 77937073 is about 427.1509374312.

The spelling of 77937073 in words is "seventy-seven million, nine hundred thirty-seven thousand, seventy-three".