9985335 has 32 divisors (see below), whose sum is σ = 16892928. Its totient is φ = 5026560.

The previous prime is 9985333. The next prime is 9985351. The reversal of 9985335 is 5335899.

9985335 = 83² + 84² + ... + 312².

It is not a de Polignac number, because 9985335 - 2¹ = 9985333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985333) 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 31 ways as a sum of consecutive naturals, for example, 35395 + ... + 35675.

It is an arithmetic number, because the mean of its divisors is an integer number (527904).

Almost surely, 2^9985335 is an apocalyptic number.

9985335 is a deficient number, since it is larger than the sum of its proper divisors (6907593).

9985335 is a wasteful number, since it uses less digits than its factorization.

9985335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its digits is 145800, while the sum is 42.

The square root of 9985335 is about 3159.9580693421. The cubic root of 9985335 is about 215.3381015302.

The spelling of 9985335 in words is "nine million, nine hundred eighty-five thousand, three hundred thirty-five".