9985374 has 96 divisors (see below), whose sum is σ = 26906880. Its totient is φ = 2612736.

The previous prime is 9985373. The next prime is 9985397. The reversal of 9985374 is 4735899.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102894 + ... + 102990.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 2^9985374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453440).

9985374 is an abundant number, since it is smaller than the sum of its proper divisors (16921506).

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

9985374 is a wasteful number, since it uses less digits than its factorization.

9985374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 9985374 is about 3159.9642403040. The cubic root of 9985374 is about 215.3383818805.

It can be divided in two parts, 9 and 985374, that multiplied together give a triangular number (8868366 = T₄₂₁₁).

The spelling of 9985374 in words is "nine million, nine hundred eighty-five thousand, three hundred seventy-four".