10006863 has 32 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 5677056.

The previous prime is 10006861. The next prime is 10006873. The reversal of 10006863 is 36860001.

10006863 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006863 - 2¹ = 10006861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22063 + ... + 22511.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 2^10006863 is an apocalyptic number.

10006863 is a deficient number, since it is larger than the sum of its proper divisors (5545137).

10006863 is a wasteful number, since it uses less digits than its factorization.

10006863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10006863 is about 3163.3626096292. The cubic root of 10006863 is about 215.4927440167.

Adding to 10006863 its reverse (36860001), we get a palindrome (46866864).

The spelling of 10006863 in words is "ten million, six thousand, eight hundred sixty-three".