9705724 has 36 divisors (see below), whose sum is σ = 20626704. Its totient is φ = 3976896.

The previous prime is 9705719. The next prime is 9705727. The reversal of 9705724 is 4275079.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9705724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705727) 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, 3432 + ... + 5584.

It is an arithmetic number, because the mean of its divisors is an integer number (572964).

Almost surely, 2^9705724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9705724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313352).

9705724 is an abundant number, since it is smaller than the sum of its proper divisors (10920980).

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

9705724 is a wasteful number, since it uses less digits than its factorization.

9705724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 9705724 is about 3115.4010977722. The cubic root of 9705724 is about 213.3090651648.

The spelling of 9705724 in words is "nine million, seven hundred five thousand, seven hundred twenty-four".