1680797177 has 2 divisors, whose sum is σ = 1680797178. Its totient is φ = 1680797176.

The previous prime is 1680797141. The next prime is 1680797189. The reversal of 1680797177 is 7717970861.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 888993856 + 791803321 = 29816^2 + 28139^2 .

It is an emirp because it is prime and its reverse (7717970861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1680797177 - 2¹⁶ = 1680731641 is a prime.

It is a super-2 number, since 2×1680797177² = 5650158300422338658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1680797117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840398588 + 840398589.

It is an arithmetic number, because the mean of its divisors is an integer number (840398589).

Almost surely, 2^1680797177 is an apocalyptic number.

It is an amenable number.

1680797177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680797177 is an equidigital number, since it uses as much as digits as its factorization.

1680797177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1037232, while the sum is 53.

The square root of 1680797177 is about 40997.5264741667. The cubic root of 1680797177 is about 1188.9723908940.

The spelling of 1680797177 in words is "one billion, six hundred eighty million, seven hundred ninety-seven thousand, one hundred seventy-seven".