9785104 has 40 divisors (see below), whose sum is σ = 22121600. Its totient is φ = 4191264.

The previous prime is 9785089. The next prime is 9785107. The reversal of 9785104 is 4015879.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9785104.

It is not an unprimeable number, because it can be changed into a prime (9785107) 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, 4597 + ... + 6379.

It is an arithmetic number, because the mean of its divisors is an integer number (553040).

Almost surely, 2^9785104 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 9785104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060800).

9785104 is an abundant number, since it is smaller than the sum of its proper divisors (12336496).

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

9785104 is a wasteful number, since it uses less digits than its factorization.

9785104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 9785104 is about 3128.1150873969. The cubic root of 9785104 is about 213.8890157330.

It can be divided in two parts, 9785 and 104, that added together give a palindrome (9889).

The spelling of 9785104 in words is "nine million, seven hundred eighty-five thousand, one hundred four".