45305 has 16 divisors (see below), whose sum is σ = 63504. Its totient is φ = 30720.

The previous prime is 45293. The next prime is 45307. The reversal of 45305 is 50354.

45305 = T₁₄ + T₁₅ + ... + T₆₄.

45305 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 8 ways, for example, as 6889 + 38416 = 83^2 + 196^2 .

It is not a de Polignac number, because 45305 - 2⁴ = 45289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45305.

It is not an unprimeable number, because it can be changed into a prime (45307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁴⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

45305 is a deficient number, since it is larger than the sum of its proper divisors (18199).

45305 is a wasteful number, since it uses less digits than its factorization.

45305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 45305 is about 212.8497122385. The cubic root of 45305 is about 35.6491116140.

Adding to 45305 its reverse (50354), we get a palindrome (95659).

The spelling of 45305 in words is "forty-five thousand, three hundred five".