45008 has 20 divisors (see below), whose sum is σ = 91140. Its totient is φ = 21504.

The previous prime is 45007. The next prime is 45013. The reversal of 45008 is 80054.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 23104 = 148^2 + 152^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁴⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45570).

45008 is an abundant number, since it is smaller than the sum of its proper divisors (46132).

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

45008 is a wasteful number, since it uses less digits than its factorization.

45008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 45008 is about 212.1508896988. The cubic root of 45008 is about 35.5710407086.

The spelling of 45008 in words is "forty-five thousand, eight".