45984 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 15296.

The previous prime is 45979. The next prime is 45989. The reversal of 45984 is 48954.

It is an interprime number because it is at equal distance from previous prime (45979) and next prime (45989).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×45984² = 4229056512, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (45989) by changing a digit.

45984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁴⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

45984 is an abundant number, since it is smaller than the sum of its proper divisors (74976).

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 (60480).

45984 is a wasteful number, since it uses less digits than its factorization.

45984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 45984 is about 214.4388024589. The cubic root of 45984 is about 35.8263239700.

Subtracting from 45984 its sum of digits (30), we obtain a palindrome (45954).

The spelling of 45984 in words is "forty-five thousand, nine hundred eighty-four".