677508329 has 2 divisors, whose sum is σ = 677508330. Its totient is φ = 677508328.

The previous prime is 677508323. The next prime is 677508331. The reversal of 677508329 is 923805776.

677508329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 642521104 + 34987225 = 25348^2 + 5915^2 .

It is a cyclic number.

It is not a de Polignac number, because 677508329 - 2¹⁶ = 677442793 is a prime.

It is a Sophie Germain prime.

Together with 677508331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (677508323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338754164 + 338754165.

It is an arithmetic number, because the mean of its divisors is an integer number (338754165).

Almost surely, 2^677508329 is an apocalyptic number.

It is an amenable number.

677508329 is a deficient number, since it is larger than the sum of its proper divisors (1).

677508329 is an equidigital number, since it uses as much as digits as its factorization.

677508329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 677508329 is about 26028.9901648143. The cubic root of 677508329 is about 878.2905558666.

The spelling of 677508329 in words is "six hundred seventy-seven million, five hundred eight thousand, three hundred twenty-nine".