45005 has 4 divisors (see below), whose sum is σ = 54012. Its totient is φ = 36000.

The previous prime is 44987. The next prime is 45007. The reversal of 45005 is 50054.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11881 + 33124 = 109^2 + 182^2 .

It is not a de Polignac number, because 45005 - 2¹⁴ = 28621 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4496 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (13503).

2⁴⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

45005 is a deficient number, since it is larger than the sum of its proper divisors (9007).

45005 is an equidigital number, since it uses as much as digits as its factorization.

45005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 45005 is about 212.1438191416. The cubic root of 45005 is about 35.5702503640.

Adding to 45005 its reverse (50054), we get a palindrome (95059).

It can be divided in two parts, 4500 and 5, that multiplied together give a square (22500 = 150²).

The spelling of 45005 in words is "forty-five thousand, five".