2305 has 4 divisors (see below), whose sum is σ = 2772. Its totient is φ = 1840.

The previous prime is 2297. The next prime is 2309. The reversal of 2305 is 5032.

Adding to 2305 its reverse (5032), we get a palindrome (7337).

2305 is nontrivially palindromic in base 15.

It is a Cunningham number, because it is equal to 48^{2}+1.

2305 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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 784 + 1521 = 28^2 + 39^2 .

It is not a de Polignac number, because 2305 - 2^{3} = 2297 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

2305 is an undulating number in base 15.

It is a nialpdrome in base 5 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2291 and 2300.

It is not an unprimeable number, because it can be changed into a prime (2309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

It is a Proth number, since it is equal to 9 ⋅ 2^{8} + 1 and 9 < 2^{8}.

It is an amenable number.

2305 is a deficient number, since it is larger than the sum of its proper divisors (467).

2305 is an equidigital number, since it uses as much as digits as its factorization.

2305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2305 is about 48.0104155366. The cubic root of 2305 is about 13.2096195567.

The spelling of 2305 in words is "two thousand, three hundred five".

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