678329 has 2 divisors, whose sum is σ = 678330. Its totient is φ = 678328.

The previous prime is 678299. The next prime is 678341. The reversal of 678329 is 923876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672400 + 5929 = 820^2 + 77^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-678329 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (678229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339164 + 339165.

It is an arithmetic number, because the mean of its divisors is an integer number (339165).

2⁶⁷⁸³²⁹ is an apocalyptic number.

It is an amenable number.

678329 is a deficient number, since it is larger than the sum of its proper divisors (1).

678329 is an equidigital number, since it uses as much as digits as its factorization.

678329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 678329 is about 823.6073093410. The cubic root of 678329 is about 87.8645039456.

The spelling of 678329 in words is "six hundred seventy-eight thousand, three hundred twenty-nine".