9971871 has 16 divisors (see below), whose sum is σ = 16364544. Its totient is φ = 5259744.

The previous prime is 9971861. The next prime is 9971881. The reversal of 9971871 is 1781799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9971861) and next prime (9971881).

It is not a de Polignac number, because 9971871 - 2⁵ = 9971839 is a prime.

It is a super-2 number, since 2×9971871² = 198876422481282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971861) 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 15 ways as a sum of consecutive naturals, for example, 17991 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (1022784).

Almost surely, 2^9971871 is an apocalyptic number.

9971871 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9971871 is a deficient number, since it is larger than the sum of its proper divisors (6392673).

9971871 is a wasteful number, since it uses less digits than its factorization.

9971871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36550.

The product of its digits is 31752, while the sum is 42.

The square root of 9971871 is about 3157.8269426933. The cubic root of 9971871 is about 215.2412723202.

The spelling of 9971871 in words is "nine million, nine hundred seventy-one thousand, eight hundred seventy-one".