680177 has 2 divisors, whose sum is σ = 680178. Its totient is φ = 680176.

The previous prime is 680161. The next prime is 680189. The reversal of 680177 is 771086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 516961 + 163216 = 719^2 + 404^2 .

It is a cyclic number.

It is not a de Polignac number, because 680177 - 2⁴ = 680161 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (680107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340088 + 340089.

It is an arithmetic number, because the mean of its divisors is an integer number (340089).

2⁶⁸⁰¹⁷⁷ is an apocalyptic number.

It is an amenable number.

680177 is a deficient number, since it is larger than the sum of its proper divisors (1).

680177 is an equidigital number, since it uses as much as digits as its factorization.

680177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 680177 is about 824.7284401547. The cubic root of 680177 is about 87.9442225739.

Subtracting 680177 from its reverse (771086), we obtain a palindrome (90909).

The spelling of 680177 in words is "six hundred eighty thousand, one hundred seventy-seven".