75891 has 8 divisors (see below), whose sum is σ = 103824. Its totient is φ = 49280.

The previous prime is 75883. The next prime is 75913. The reversal of 75891 is 19857.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75891 - 2³ = 75883 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 186 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (12978).

2⁷⁵⁸⁹¹ is an apocalyptic number.

75891 is a deficient number, since it is larger than the sum of its proper divisors (27933).

75891 is a wasteful number, since it uses less digits than its factorization.

75891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its digits is 2520, while the sum is 30.

The square root of 75891 is about 275.4832118297. The cubic root of 75891 is about 42.3379759446.

The spelling of 75891 in words is "seventy-five thousand, eight hundred ninety-one".