Search a number
11353 is a prime number

11353 has 2 divisors, whose sum is σ = 11354. Its totient is φ = 11352.

The previous prime is 11351. The next prime is 11369. The reversal of 11353 is 35311.

11353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 44-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 2704 = 93^2 + 52^2 .

It is an emirp because it is prime and its reverse (35311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11353 - 21 = 11351 is a prime.

Together with 11351, it forms a pair of twin primes.

It is equal to p1372 and since 11353 and 1372 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (11351) 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 as a sum of consecutive naturals, namely, 5676 + 5677.

It is an arithmetic number, because the mean of its divisors is an integer number (5677).

211353 is an apocalyptic number.

It is an amenable number.

11353 is a deficient number, since it is larger than the sum of its proper divisors (1).

11353 is an equidigital number, since it uses as much as digits as its factorization.

11353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 13.

The square root of 11353 is about 106.5504575307. The cubic root of 11353 is about 22.4751990102.

Adding to 11353 its reverse (35311), we get a palindrome (46664).

It can be divided in two parts, 11 and 353, that multiplied together give a palindrome (3883).

The spelling of 11353 in words is "eleven thousand, three hundred fifty-three".