6872593 has 12 divisors (see below), whose sum is σ = 8610420. Its totient is φ = 5437152.

The previous prime is 6872581. The next prime is 6872603. The reversal of 6872593 is 3952786.

It can be written as a sum of positive squares in 2 ways, for example, as 1979649 + 4892944 = 1407^2 + 2212^2 .

It is not a de Polignac number, because 6872593 - 2⁹ = 6872081 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6872513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4758 + ... + 6031.

It is an arithmetic number, because the mean of its divisors is an integer number (717535).

Almost surely, 2^6872593 is an apocalyptic number.

It is an amenable number.

6872593 is a deficient number, since it is larger than the sum of its proper divisors (1737827).

6872593 is a wasteful number, since it uses less digits than its factorization.

6872593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10809 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 6872593 is about 2621.5630833531. The cubic root of 6872593 is about 190.1254296440.

The spelling of 6872593 in words is "six million, eight hundred seventy-two thousand, five hundred ninety-three".