6755 has 8 divisors (see below), whose sum is σ = 9312. Its totient is φ = 4608.

The previous prime is 6737. The next prime is 6761. The reversal of 6755 is 5576.

6755 = 28^{2} + 29^{2} + ... + 34^{2}.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6755 - 2^{6} = 6691 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 6755.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1164).

2^{6755} is an apocalyptic number.

6755 is a deficient number, since it is larger than the sum of its proper divisors (2557).

6755 is a wasteful number, since it uses less digits than its factorization.

6755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its digits is 1050, while the sum is 23.

The square root of 6755 is about 82.1888070238. The cubic root of 6755 is about 18.9034809710.

It can be divided in two parts, 675 and 5, that multiplied together give a cube (3375 = 15^{3}).

The spelling of 6755 in words is "six thousand, seven hundred fifty-five".

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