10082085 has 32 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 4915968.

The previous prime is 10082077. The next prime is 10082089. The reversal of 10082085 is 58028001.

It is not a de Polignac number, because 10082085 - 2³ = 10082077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082089) 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, 28882 + ... + 29228.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 2^10082085 is an apocalyptic number.

10082085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10082085 is a deficient number, since it is larger than the sum of its proper divisors (7457115).

10082085 is a wasteful number, since it uses less digits than its factorization.

10082085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10082085 is about 3175.2299129354. The cubic root of 10082085 is about 216.0313526163.

The spelling of 10082085 in words is "ten million, eighty-two thousand, eighty-five".