10187985 has 16 divisors (see below), whose sum is σ = 16349760. Its totient is φ = 5417280.

The previous prime is 10187963. The next prime is 10187999. The reversal of 10187985 is 58978101.

It is not a de Polignac number, because 10187985 - 2⁶ = 10187921 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 5475 + ... + 7095.

It is an arithmetic number, because the mean of its divisors is an integer number (1021860).

Almost surely, 2^10187985 is an apocalyptic number.

10187985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10187985 is a deficient number, since it is larger than the sum of its proper divisors (6161775).

10187985 is a wasteful number, since it uses less digits than its factorization.

10187985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048.

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 10187985 is about 3191.8623090603. The cubic root of 10187985 is about 216.7851015869.

The spelling of 10187985 in words is "ten million, one hundred eighty-seven thousand, nine hundred eighty-five".