10006587 has 12 divisors (see below), whose sum is σ = 15082704. Its totient is φ = 6380880.

The previous prime is 10006567. The next prime is 10006603. The reversal of 10006587 is 78560001.

10006587 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 658 + 7 = 666.

It is not a de Polignac number, because 10006587 - 2¹⁵ = 9973819 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006587.

It is not an unprimeable number, because it can be changed into a prime (10006547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23964 + ... + 24377.

It is an arithmetic number, because the mean of its divisors is an integer number (1256892).

Almost surely, 2^10006587 is an apocalyptic number.

10006587 is a deficient number, since it is larger than the sum of its proper divisors (5076117).

10006587 is a wasteful number, since it uses less digits than its factorization.

10006587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48370 (or 48367 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10006587 is about 3163.3189848638. The cubic root of 10006587 is about 215.4907628249.

Adding to 10006587 its reverse (78560001), we get a palindrome (88566588).

The spelling of 10006587 in words is "ten million, six thousand, five hundred eighty-seven".