77684137 has 2 divisors, whose sum is σ = 77684138. Its totient is φ = 77684136.

The previous prime is 77684111. The next prime is 77684143. The reversal of 77684137 is 73148677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61168041 + 16516096 = 7821^2 + 4064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77684137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77684093 and 77684102.

It is not a weakly prime, because it can be changed into another prime (77684107) 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, 38842068 + 38842069.

It is an arithmetic number, because the mean of its divisors is an integer number (38842069).

Almost surely, 2^77684137 is an apocalyptic number.

It is an amenable number.

77684137 is a deficient number, since it is larger than the sum of its proper divisors (1).

77684137 is an equidigital number, since it uses as much as digits as its factorization.

77684137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 197568, while the sum is 43.

The square root of 77684137 is about 8813.8605049093. The cubic root of 77684137 is about 426.6883465411.

The spelling of 77684137 in words is "seventy-seven million, six hundred eighty-four thousand, one hundred thirty-seven".