5305 has 4 divisors (see below), whose sum is σ = 6372. Its totient is φ = 4240.

The previous prime is 5303. The next prime is 5309. The reversal of 5305 is 5035.

5305 = 51² + 52².

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 2704 + 2601 = 52^2 + 51^2 .

It is not a de Polignac number, because 5305 - 2¹ = 5303 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5305.

It is not an unprimeable number, because it can be changed into a prime (5303) 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 3 ways as a sum of consecutive naturals, for example, 526 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (1593).

2⁵³⁰⁵ is an apocalyptic number.

5305 is the 52-nd centered square number.

It is an amenable number.

5305 is a deficient number, since it is larger than the sum of its proper divisors (1067).

5305 is a wasteful number, since it uses less digits than its factorization.

5305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 5305 is about 72.8354309385. The cubic root of 5305 is about 17.4406150360.

It can be divided in two parts, 530 and 5, that added together give a palindrome (535).

The spelling of 5305 in words is "five thousand, three hundred five".