6813135 has 48 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 3036096.

The previous prime is 6813127. The next prime is 6813137. The reversal of 6813135 is 5313186.

It is not a de Polignac number, because 6813135 - 2³ = 6813127 is a prime.

6813135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6813099 and 6813108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13294 + ... + 13796.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^6813135 is an apocalyptic number.

6813135 is an abundant number, since it is smaller than the sum of its proper divisors (7024689).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6813135 is a wasteful number, since it uses less digits than its factorization.

6813135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 6813135 is about 2610.1982683314. The cubic root of 6813135 is about 189.5755529821.

It can be divided in two parts, 68 and 13135, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 6813135 in words is "six million, eight hundred thirteen thousand, one hundred thirty-five".