6577 has 2 divisors, whose sum is σ = 6578. Its totient is φ = 6576.

The previous prime is 6571. The next prime is 6581. The reversal of 6577 is 7756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 16 = 81^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 6577 - 2³ = 6569 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (6571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3288 + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (3289).

2⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

6577 is a deficient number, since it is larger than the sum of its proper divisors (1).

6577 is an equidigital number, since it uses as much as digits as its factorization.

6577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1470, while the sum is 25.

The square root of 6577 is about 81.0987052918. The cubic root of 6577 is about 18.7359598596.

It can be divided in two parts, 65 and 77, that multiplied together give a palindrome (5005).

The spelling of 6577 in words is "six thousand, five hundred seventy-seven".