6877 has 6 divisors (see below), whose sum is σ = 7742. Its totient is φ = 6072.

The previous prime is 6871. The next prime is 6883. The reversal of 6877 is 7786.

It is an interprime number because it is at equal distance from previous prime (6871) and next prime (6883).

It can be written as a sum of positive squares in only one way, i.e., 4761 + 2116 = 69^2 + 46^2 .

It is not a de Polignac number, because 6877 - 2³ = 6869 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 310.

2⁶⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

6877 is a deficient number, since it is larger than the sum of its proper divisors (865).

6877 is a wasteful number, since it uses less digits than its factorization.

6877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 6877 is about 82.9276793357. The cubic root of 6877 is about 19.0166059808.

Adding to 6877 its product of digits (2352), we get a palindrome (9229).

Subtracting 6877 from its reverse (7786), we obtain a palindrome (909).

The spelling of 6877 in words is "six thousand, eight hundred seventy-seven".