6735 has 8 divisors (see below), whose sum is σ = 10800. Its totient is φ = 3584.

The previous prime is 6733. The next prime is 6737. The reversal of 6735 is 5376.

It is an interprime number because it is at equal distance from previous prime (6733) and next prime (6737).

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

It is a 9-Lehmer number, since φ(6735) divides (6735-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 6735 - 2¹ = 6733 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2⁶⁷³⁵ is an apocalyptic number.

6735 is a deficient number, since it is larger than the sum of its proper divisors (4065).

6735 is a wasteful number, since it uses less digits than its factorization.

6735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its digits is 630, while the sum is 21.

The square root of 6735 is about 82.0670457614. The cubic root of 6735 is about 18.8848062431.

Subtracting from 6735 its product of digits (630), we obtain a triangular number (6105 = T₁₁₀).

It can be divided in two parts, 6 and 735, that added together give a triangular number (741 = T₃₈).

The spelling of 6735 in words is "six thousand, seven hundred thirty-five".