16835985 has 32 divisors (see below), whose sum is σ = 30101760. Its totient is φ = 8928000.

The previous prime is 16835971. The next prime is 16836049. The reversal of 16835985 is 58953861.

It is not a de Polignac number, because 16835985 - 2⁷ = 16835857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (259200) is a multiple of the sum of its prime divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 16835985.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41785 + ... + 42185.

It is an arithmetic number, because the mean of its divisors is an integer number (940680).

Almost surely, 2^16835985 is an apocalyptic number.

16835985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16835985 is a deficient number, since it is larger than the sum of its proper divisors (13265775).

16835985 is a wasteful number, since it uses less digits than its factorization.

16835985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 16835985 is about 4103.1676787575. The cubic root of 16835985 is about 256.2985662459.

The spelling of 16835985 in words is "sixteen million, eight hundred thirty-five thousand, nine hundred eighty-five".