45205 has 4 divisors (see below), whose sum is σ = 54252. Its totient is φ = 36160.

The previous prime is 45197. The next prime is 45233. The reversal of 45205 is 50254.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50254 = 2 ⋅25127.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 10609 = 186^2 + 103^2 .

It is not a de Polignac number, because 45205 - 2³ = 45197 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable 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, 4516 + ... + 4525.

It is an arithmetic number, because the mean of its divisors is an integer number (13563).

2⁴⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

45205 is a deficient number, since it is larger than the sum of its proper divisors (9047).

45205 is an equidigital number, since it uses as much as digits as its factorization.

45205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 45205 is about 212.6146749404. The cubic root of 45205 is about 35.6228633170.

Adding to 45205 its reverse (50254), we get a palindrome (95459).

The spelling of 45205 in words is "forty-five thousand, two hundred five".