45885 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 19008.

The previous prime is 45869. The next prime is 45887. The reversal of 45885 is 58854.

It is not a de Polignac number, because 45885 - 2⁴ = 45869 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a zygodrome in base 6.

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 45885.

It is not an unprimeable number, because it can be changed into a prime (45887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2⁴⁵⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

45885 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (46080).

45885 is a wasteful number, since it uses less digits than its factorization.

45885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57.

The product of its digits is 6400, while the sum is 30.

The square root of 45885 is about 214.2078429937. The cubic root of 45885 is about 35.8005950610.

The spelling of 45885 in words is "forty-five thousand, eight hundred eighty-five".