845871 has 24 divisors (see below), whose sum is σ = 1300656. Its totient is φ = 485760.

The previous prime is 845863. The next prime is 845879. The reversal of 845871 is 178548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (845863) and next prime (845879).

It is not a de Polignac number, because 845871 - 2³ = 845863 is a prime.

Its product of digits (8960) is a multiple of the sum of its prime divisors (80).

845871 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 845871.

It is not an unprimeable number, because it can be changed into a prime (845879) 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, 20611 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (54194).

2⁸⁴⁵⁸⁷¹ is an apocalyptic number.

845871 is a deficient number, since it is larger than the sum of its proper divisors (454785).

845871 is a wasteful number, since it uses less digits than its factorization.

845871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 845871 is about 919.7124550641. The cubic root of 845871 is about 94.5731915269.

The spelling of 845871 in words is "eight hundred forty-five thousand, eight hundred seventy-one".