10085517 has 12 divisors (see below), whose sum is σ = 15688764. Its totient is φ = 6206400.

The previous prime is 10085513. The next prime is 10085567. The reversal of 10085517 is 71558001.

10085517 is a `hidden beast` number, since 100 + 8 + 551 + 7 = 666.

10085517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1121481 + 8964036 = 1059^2 + 2994^2 .

It is not a de Polignac number, because 10085517 - 2² = 10085513 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42984 + ... + 43217.

It is an arithmetic number, because the mean of its divisors is an integer number (1307397).

Almost surely, 2^10085517 is an apocalyptic number.

It is an amenable number.

10085517 is a deficient number, since it is larger than the sum of its proper divisors (5603247).

10085517 is a wasteful number, since it uses less digits than its factorization.

10085517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86220 (or 86217 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 10085517 is about 3175.7703002579. The cubic root of 10085517 is about 216.0558626090.

The spelling of 10085517 in words is "ten million, eighty-five thousand, five hundred seventeen".