9785484 has 36 divisors (see below), whose sum is σ = 25110904. Its totient is φ = 3212352.

The previous prime is 9785483. The next prime is 9785497. The reversal of 9785484 is 4845879.

9785484 is a `hidden beast` number, since 97 + 85 + 484 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×9785484² = 191511394228512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9785483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384 + ... + 4440.

Almost surely, 2^9785484 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 9785484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555452).

9785484 is an abundant number, since it is smaller than the sum of its proper divisors (15325420).

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

9785484 is a wasteful number, since it uses less digits than its factorization.

9785484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4129 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 9785484 is about 3128.1758262604. The cubic root of 9785484 is about 213.8917844576.

The spelling of 9785484 in words is "nine million, seven hundred eighty-five thousand, four hundred eighty-four".