677657 has 2 divisors, whose sum is σ = 677658. Its totient is φ = 677656.

The previous prime is 677647. The next prime is 677681. The reversal of 677657 is 756776.

677657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 63001 = 784^2 + 251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-677657 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677657.

It is not a weakly prime, because it can be changed into another prime (677627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338828 + 338829.

It is an arithmetic number, because the mean of its divisors is an integer number (338829).

2⁶⁷⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

677657 is a deficient number, since it is larger than the sum of its proper divisors (1).

677657 is an equidigital number, since it uses as much as digits as its factorization.

677657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61740, while the sum is 38.

The square root of 677657 is about 823.1992468412. The cubic root of 677657 is about 87.8354794578.

The spelling of 677657 in words is "six hundred seventy-seven thousand, six hundred fifty-seven".