871641 has 24 divisors (see below), whose sum is σ = 1389024. Its totient is φ = 544320.

The previous prime is 871639. The next prime is 871643. The reversal of 871641 is 146178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (871639) and next prime (871643).

It is not a de Polignac number, because 871641 - 2¹ = 871639 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (871643) 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 23 ways as a sum of consecutive naturals, for example, 4026 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (57876).

2⁸⁷¹⁶⁴¹ is an apocalyptic number.

871641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

871641 is a deficient number, since it is larger than the sum of its proper divisors (517383).

871641 is a wasteful number, since it uses less digits than its factorization.

871641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 871641 is about 933.6171592253. The cubic root of 871641 is about 95.5240110308.

It can be divided in two parts, 87 and 1641, that added together give a cube (1728 = 12³).

The spelling of 871641 in words is "eight hundred seventy-one thousand, six hundred forty-one".