677 has 2 divisors, whose sum is σ = 678. Its totient is φ = 676.

The previous prime is 673. The next prime is 683. The reversal of 677 is 776.

677 = 14^{2} + 15^{2} + 16^{2}.

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

It is a Cunningham number, because it is equal to 26^{2}+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676 + 1 = 26^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 677 - 2^{2} = 673 is a prime.

It is a Chen prime.

It is a plaindrome in base 8, base 10 and base 11.

It is a nialpdrome in base 4 and base 9.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338 + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (339).

It is an amenable number.

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

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

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

The product of its digits is 294, while the sum is 20.

The square root of 677 is about 26.0192236625. The cubic root of 677 is about 8.7807084282.

Subtracting from 677 its product of digits (294), we obtain a palindrome (383).

Subtracting 677 from its reverse (776), we obtain a palindrome (99).

The spelling of 677 in words is "six hundred seventy-seven", and thus it is an aban number and an oban number.

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