2353 has 4 divisors (see below), whose sum is σ = 2548. Its totient is φ = 2160.

The previous prime is 2351. The next prime is 2357. The reversal of 2353 is 3532.

2353 is nontrivially palindromic in base 12.

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 144 + 2209 = 12^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 2353 - 2¹ = 2351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 181 = 2353 / (2 + 3 + 5 + 3).

It is a d-powerful number, because it can be written as 2⁵ + 5³ + 3² + 3⁷ .

It is the 49-th Hogben number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2351) by changing a digit.

It is a nontrivial repunit in base 48.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

2²³⁵³ is an apocalyptic number.

It is an amenable number.

2353 is a deficient number, since it is larger than the sum of its proper divisors (195).

2353 is a wasteful number, since it uses less digits than its factorization.

2353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its digits is 90, while the sum is 13.

The square root of 2353 is about 48.5077313425. The cubic root of 2353 is about 13.3006840058.

2353 divided by its sum of digits (13) gives a palindrome (181).

Adding to 2353 its reverse (3532), we get a palindrome (5885).

The spelling of 2353 in words is "two thousand, three hundred fifty-three".