6677 has 4 divisors (see below), whose sum is σ = 7296. Its totient is φ = 6060.

The previous prime is 6673. The next prime is 6679. The reversal of 6677 is 7766.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 6677 - 2² = 6673 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

2⁶⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

6677 is a deficient number, since it is larger than the sum of its proper divisors (619).

6677 is a wasteful number, since it uses less digits than its factorization.

6677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618.

The product of its digits is 1764, while the sum is 26.

The square root of 6677 is about 81.7129120764. The cubic root of 6677 is about 18.8304395968.

Subtracting from 6677 its product of digits (1764), we obtain a cube (4913 = 17³).

Subtracting 6677 from its reverse (7766), we obtain a square (1089 = 33²).

The spelling of 6677 in words is "six thousand, six hundred seventy-seven".