677309 has 2 divisors, whose sum is σ = 677310. Its totient is φ = 677308.

The previous prime is 677239. The next prime is 677311. The reversal of 677309 is 903776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 521284 + 156025 = 722^2 + 395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-677309 is a prime.

Together with 677311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677309.

It is not a weakly prime, because it can be changed into another prime (679309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338654 + 338655.

It is an arithmetic number, because the mean of its divisors is an integer number (338655).

2⁶⁷⁷³⁰⁹ is an apocalyptic number.

It is an amenable number.

677309 is a deficient number, since it is larger than the sum of its proper divisors (1).

677309 is an equidigital number, since it uses as much as digits as its factorization.

677309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 677309 is about 822.9878492420. The cubic root of 677309 is about 87.8204413777.

The spelling of 677309 in words is "six hundred seventy-seven thousand, three hundred nine".