6577661 has 2 divisors, whose sum is σ = 6577662. Its totient is φ = 6577660.

The previous prime is 6577651. The next prime is 6577663. The reversal of 6577661 is 1667756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3667225 + 2910436 = 1915^2 + 1706^2 .

It is a cyclic number.

It is not a de Polignac number, because 6577661 - 2¹⁴ = 6561277 is a prime.

It is a Sophie Germain prime.

Together with 6577663, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6577663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3288830 + 3288831.

It is an arithmetic number, because the mean of its divisors is an integer number (3288831).

Almost surely, 2^6577661 is an apocalyptic number.

It is an amenable number.

6577661 is a deficient number, since it is larger than the sum of its proper divisors (1).

6577661 is an equidigital number, since it uses as much as digits as its factorization.

6577661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 6577661 is about 2564.6951085850. The cubic root of 6577661 is about 187.3658750418.

The spelling of 6577661 in words is "six million, five hundred seventy-seven thousand, six hundred sixty-one".