12751 has 4 divisors (see below), whose sum is σ = 13104. Its totient is φ = 12400.

The previous prime is 12743. The next prime is 12757. The reversal of 12751 is 15721.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15721 = 79 ⋅199.

It is a cyclic number.

It is not a de Polignac number, because 12751 - 2³ = 12743 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115 + ... + 196.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2¹²⁷⁵¹ is an apocalyptic number.

12751 is the 51-st centered decagonal number.

12751 is a deficient number, since it is larger than the sum of its proper divisors (353).

12751 is an equidigital number, since it uses as much as digits as its factorization.

12751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its digits is 70, while the sum is 16.

The square root of 12751 is about 112.9203258940. The cubic root of 12751 is about 23.3622543877.

Adding to 12751 its product of digits (70), we get a palindrome (12821).

The spelling of 12751 in words is "twelve thousand, seven hundred fifty-one".