677057 has 2 divisors, whose sum is σ = 677058. Its totient is φ = 677056.

The previous prime is 677041. The next prime is 677077. The reversal of 677057 is 750776.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 152881 = 724^2 + 391^2 .

It is a cyclic number.

It is not a de Polignac number, because 677057 - 2⁴ = 677041 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677057.

It is not a weakly prime, because it can be changed into another prime (677077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338528 + 338529.

It is an arithmetic number, because the mean of its divisors is an integer number (338529).

2⁶⁷⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

677057 is a deficient number, since it is larger than the sum of its proper divisors (1).

677057 is an equidigital number, since it uses as much as digits as its factorization.

677057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 677057 is about 822.8347343179. The cubic root of 677057 is about 87.8095485176.

The spelling of 677057 in words is "six hundred seventy-seven thousand, fifty-seven".