10082985 has 32 divisors (see below), whose sum is σ = 17947008. Its totient is φ = 4792320.

The previous prime is 10082971. The next prime is 10083001. The reversal of 10082985 is 58928001.

It is a happy number.

It is not a de Polignac number, because 10082985 - 2⁵ = 10082953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 8169 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (560844).

Almost surely, 2^10082985 is an apocalyptic number.

10082985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10082985 is a deficient number, since it is larger than the sum of its proper divisors (7864023).

10082985 is a wasteful number, since it uses less digits than its factorization.

10082985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10082985 is about 3175.3716317937. The cubic root of 10082985 is about 216.0377805999.

It can be divided in two parts, 1008 and 2985, that added together give a palindrome (3993).

The spelling of 10082985 in words is "ten million, eighty-two thousand, nine hundred eighty-five".