6782013 has 24 divisors (see below), whose sum is σ = 11339328. Its totient is φ = 3825792.

The previous prime is 6781967. The next prime is 6782021. The reversal of 6782013 is 3102876.

It is not a de Polignac number, because 6782013 - 2⁹ = 6781501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4581 + ... + 5877.

It is an arithmetic number, because the mean of its divisors is an integer number (472472).

Almost surely, 2^6782013 is an apocalyptic number.

6782013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6782013 is a deficient number, since it is larger than the sum of its proper divisors (4557315).

6782013 is a wasteful number, since it uses less digits than its factorization.

6782013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6782013 is about 2604.2298285674. The cubic root of 6782013 is about 189.2864556821.

Adding to 6782013 its reverse (3102876), we get a palindrome (9884889).

The spelling of 6782013 in words is "six million, seven hundred eighty-two thousand, thirteen".