9871641 has 24 divisors (see below), whose sum is σ = 15491840. Its totient is φ = 6021216.

The previous prime is 9871633. The next prime is 9871649. The reversal of 9871641 is 1461789.

9871641 is a `hidden beast` number, since 9 + 8 + 7 + 1 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (9871633) and next prime (9871649).

It is not a de Polignac number, because 9871641 - 2³ = 9871633 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

9871641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9871596 and 9871605.

It is not an unprimeable number, because it can be changed into a prime (9871649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15960 + ... + 16566.

Almost surely, 2^9871641 is an apocalyptic number.

It is an amenable number.

9871641 is a deficient number, since it is larger than the sum of its proper divisors (5620199).

9871641 is a wasteful number, since it uses less digits than its factorization.

9871641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 9871641 is about 3141.9167716539. The cubic root of 9871641 is about 214.5176929673.

It can be divided in two parts, 987 and 1641, that added together give a triangular number (2628 = T₇₂).

The spelling of 9871641 in words is "nine million, eight hundred seventy-one thousand, six hundred forty-one".