6705 has 12 divisors (see below), whose sum is σ = 11700.
Its totient is φ = 3552.
The previous prime is 6703. The next prime is 6709. The reversal of 6705 is 5076.
Adding to 6705 its reverse (5076), we get a triangular number (11781 = T153).
It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 5184 = 39^2 + 72^2
It is not a de Polignac number, because 6705 - 21 = 6703 is a prime.
It is an alternating number because its digits alternate between even and odd.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (6701) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 119.
It is an arithmetic number, because the mean of its divisors is an integer number (975).
26705 is an apocalyptic number.
It is an amenable number.
6705 is a deficient number, since it is larger than the sum of its proper divisors (4995).
6705 is a wasteful number, since it uses less digits than its factorization.
6705 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 18.
The square root of 6705 is about 81.8840643837.
The cubic root of 6705 is about 18.8567247054.
The spelling of 6705 in words is "six thousand, seven hundred five".