9985842 has 36 divisors (see below), whose sum is σ = 22496526. Its totient is φ = 3324240.

The previous prime is 9985799. The next prime is 9985853. The reversal of 9985842 is 2485899.

9985842 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 6561 = 3159^2 + 81^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12742 + ... + 13502.

Almost surely, 2^9985842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248263).

9985842 is an abundant number, since it is smaller than the sum of its proper divisors (12510684).

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

9985842 is an frugal number, since it uses more digits than its factorization.

9985842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 766 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9985842 is about 3160.0382909072. The cubic root of 9985842 is about 215.3417460271.

It can be divided in two parts, 9 and 985842, that multiplied together give a triangular number (8872578 = T₄₂₁₂).

The spelling of 9985842 in words is "nine million, nine hundred eighty-five thousand, eight hundred forty-two".