10006971 has 8 divisors (see below), whose sum is σ = 14369040. Its totient is φ = 6158112.

The previous prime is 10006957. The next prime is 10006973. The reversal of 10006971 is 17960001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006971 - 2¹¹ = 10004923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128256 + ... + 128333.

It is an arithmetic number, because the mean of its divisors is an integer number (1796130).

Almost surely, 2^10006971 is an apocalyptic number.

10006971 is a deficient number, since it is larger than the sum of its proper divisors (4362069).

10006971 is a wasteful number, since it uses less digits than its factorization.

10006971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256605.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10006971 is about 3163.3796800258. The cubic root of 10006971 is about 215.4935192557.

Adding to 10006971 its reverse (17960001), we get a palindrome (27966972).

The spelling of 10006971 in words is "ten million, six thousand, nine hundred seventy-one".