10006984 has 16 divisors (see below), whose sum is σ = 20206620. Its totient is φ = 4618560.

The previous prime is 10006973. The next prime is 10006987. The reversal of 10006984 is 48960001.

It can be written as a sum of positive squares in 2 ways, for example, as 9746884 + 260100 = 3122^2 + 510^2 .

It is not an unprimeable number, because it can be changed into a prime (10006987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48007 + ... + 48214.

Almost surely, 2^10006984 is an apocalyptic number.

It is an amenable number.

10006984 is an abundant number, since it is smaller than the sum of its proper divisors (10199636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006984 is a wasteful number, since it uses less digits than its factorization.

10006984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96240 (or 96236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10006984 is about 3163.3817347895. The cubic root of 10006984 is about 215.4936125712.

Adding to 10006984 its reverse (48960001), we get a palindrome (58966985).

The spelling of 10006984 in words is "ten million, six thousand, nine hundred eighty-four".