6782049 has 20 divisors (see below), whose sum is σ = 10243860. Its totient is φ = 4471200.

The previous prime is 6782029. The next prime is 6782051. The reversal of 6782049 is 9402876.

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 1306449 = 2340^2 + 1143^2 .

It is not a de Polignac number, because 6782049 - 2¹³ = 6773857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6782029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7767 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (512193).

Almost surely, 2^6782049 is an apocalyptic number.

It is an amenable number.

6782049 is a deficient number, since it is larger than the sum of its proper divisors (3461811).

6782049 is a wasteful number, since it uses less digits than its factorization.

6782049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6782049 is about 2604.2367403906. The cubic root of 6782049 is about 189.2867906023.

The spelling of 6782049 in words is "six million, seven hundred eighty-two thousand, forty-nine".