45505 has 8 divisors (see below), whose sum is σ = 57600. Its totient is φ = 34416.

The previous prime is 45503. The next prime is 45523. The reversal of 45505 is 50554.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45505 - 2¹ = 45503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (45503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁴⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

45505 is a deficient number, since it is larger than the sum of its proper divisors (12095).

45505 is a wasteful number, since it uses less digits than its factorization.

45505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 45505 is about 213.3190099358. The cubic root of 45505 is about 35.7014925608.

The spelling of 45505 in words is "forty-five thousand, five hundred five".