6909705 has 72 divisors (see below), whose sum is σ = 13942656. Its totient is φ = 3278880.

The previous prime is 6909677. The next prime is 6909709. The reversal of 6909705 is 5079096.

It is not a de Polignac number, because 6909705 - 2⁶ = 6909641 is a prime.

6909705 is a lucky number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6909705.

It is not an unprimeable number, because it can be changed into a prime (6909709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146992 + ... + 147038.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 2^6909705 is an apocalyptic number.

It is an amenable number.

6909705 is an abundant number, since it is smaller than the sum of its proper divisors (7032951).

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

6909705 is a wasteful number, since it uses less digits than its factorization.

6909705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 6909705 is about 2628.6317733756. The cubic root of 6909705 is about 190.4670412322.

Subtracting from 6909705 its reverse (5079096), we obtain a square (1830609 = 1353²).

The spelling of 6909705 in words is "six million, nine hundred nine thousand, seven hundred five".