6825738 has 16 divisors (see below), whose sum is σ = 14454720. Its totient is φ = 2141376.

The previous prime is 6825737. The next prime is 6825739. The reversal of 6825738 is 8375286.

It is an interprime number because it is at equal distance from previous prime (6825737) and next prime (6825739).

It is a junction number, because it is equal to n+sod(n) for n = 6825696 and 6825705.

It is not an unprimeable number, because it can be changed into a prime (6825737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33358 + ... + 33561.

It is an arithmetic number, because the mean of its divisors is an integer number (903420).

Almost surely, 2^6825738 is an apocalyptic number.

6825738 is an abundant number, since it is smaller than the sum of its proper divisors (7628982).

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

6825738 is a wasteful number, since it uses less digits than its factorization.

6825738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66941.

The product of its digits is 80640, while the sum is 39.

The square root of 6825738 is about 2612.6113373405. The cubic root of 6825738 is about 189.6923738487.

The spelling of 6825738 in words is "six million, eight hundred twenty-five thousand, seven hundred thirty-eight".