6817842 has 48 divisors (see below), whose sum is σ = 15738840. Its totient is φ = 2128896.

The previous prime is 6817829. The next prime is 6817843. The reversal of 6817842 is 2487186.

It can be written as a sum of positive squares in 4 ways, for example, as 6548481 + 269361 = 2559^2 + 519^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6817797 and 6817806.

It is not an unprimeable number, because it can be changed into a prime (6817843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19138 + ... + 19490.

Almost surely, 2^6817842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6817842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869420).

6817842 is an abundant number, since it is smaller than the sum of its proper divisors (8920998).

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

6817842 is a wasteful number, since it uses less digits than its factorization.

6817842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 424 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 6817842 is about 2611.0997682969. The cubic root of 6817842 is about 189.6192003736.

The spelling of 6817842 in words is "six million, eight hundred seventeen thousand, eight hundred forty-two".