45876 has 12 divisors (see below), whose sum is σ = 107072. Its totient is φ = 15288.

The previous prime is 45869. The next prime is 45887. The reversal of 45876 is 67854.

It is a happy number.

45876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

45876 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1900 + ... + 1923.

2⁴⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

45876 is an abundant number, since it is smaller than the sum of its proper divisors (61196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53536).

45876 is a wasteful number, since it uses less digits than its factorization.

45876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3828 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 45876 is about 214.1868343293. The cubic root of 45876 is about 35.7982542349.

The spelling of 45876 in words is "forty-five thousand, eight hundred seventy-six".