45891 has 6 divisors (see below), whose sum is σ = 66300. Its totient is φ = 30588.

The previous prime is 45887. The next prime is 45893. The reversal of 45891 is 19854.

45891 is nontrivially palindromic in base 13.

45891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45891 - 2² = 45887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2541 + ... + 2558.

It is an arithmetic number, because the mean of its divisors is an integer number (11050).

2⁴⁵⁸⁹¹ is an apocalyptic number.

45891 is a deficient number, since it is larger than the sum of its proper divisors (20409).

45891 is a wasteful number, since it uses less digits than its factorization.

45891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5102 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 45891 is about 214.2218476253. The cubic root of 45891 is about 35.8021554417.

The spelling of 45891 in words is "forty-five thousand, eight hundred ninety-one".