45045 has 48 divisors (see below), whose sum is σ = 104832. Its totient is φ = 17280.

The previous prime is 45013. The next prime is 45053. The reversal of 45045 is 54054.

It is a happy number.

45045 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 45045 - 2⁵ = 45013 is a prime.

It is a nialpdrome in base 15.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2⁴⁵⁰⁴⁵ is an apocalyptic number.

45045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45045 is an abundant number, since it is smaller than the sum of its proper divisors (59787).

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 (52416).

45045 is a wasteful number, since it uses less digits than its factorization.

45045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45045 is about 212.2380738699. The cubic root of 45045 is about 35.5807854060.

Adding to 45045 its reverse (54054), we get a palindrome (99099).

Subtracting 45045 from its reverse (54054), we obtain a palindrome (9009).

The spelling of 45045 in words is "forty-five thousand, forty-five".