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12355 = 57353

12355 has 8 divisors (see below), whose sum is σ = 16992. Its totient is φ = 8448.

The previous prime is 12347. The next prime is 12373. The reversal of 12355 is 55321.

12355 is nontrivially palindromic in base 4 and base 8.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12355 - 23 = 12347 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 142 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (2124).

12355 is a deficient number, since it is larger than the sum of its proper divisors (4637).

12355 is an equidigital number, since it uses as much as digits as its factorization.

12355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 150, while the sum is 16.

The square root of 12355 is about 111.1530476415. The cubic root of 12355 is about 23.1178575458.

Adding to 12355 its reverse (55321), we get a palindrome (67676).

The spelling of 12355 in words is "twelve thousand, three hundred fifty-five".

Divisors: 1 5 7 35 353 1765 2471 12355