75871 has 4 divisors (see below), whose sum is σ = 80352. Its totient is φ = 71392.

The previous prime is 75869. The next prime is 75883. The reversal of 75871 is 17857.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17857 = 7 ⋅2551.

It is a cyclic number.

It is not a de Polignac number, because 75871 - 2¹ = 75869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2215 + ... + 2248.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁷⁵⁸⁷¹ is an apocalyptic number.

75871 is a deficient number, since it is larger than the sum of its proper divisors (4481).

75871 is a wasteful number, since it uses less digits than its factorization.

75871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480.

The product of its digits is 1960, while the sum is 28.

The square root of 75871 is about 275.4469095851. The cubic root of 75871 is about 42.3342564262.

It can be divided in two parts, 75 and 871, that added together give a triangular number (946 = T₄₃).

The spelling of 75871 in words is "seventy-five thousand, eight hundred seventy-one".