11751 has 4 divisors (see below), whose sum is σ = 15672. Its totient is φ = 7832.

The previous prime is 11743. The next prime is 11777. The reversal of 11751 is 15711.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15711 = 3 ⋅5237.

It is a cyclic number.

It is not a de Polignac number, because 11751 - 2³ = 11743 is a prime.

It is a D-number.

It is a self number, because there is not a number n which added to its sum of digits gives 11751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701) 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, 1956 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (3918).

11751 is a deficient number, since it is larger than the sum of its proper divisors (3921).

11751 is an equidigital number, since it uses as much as digits as its factorization.

11751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920.

The product of its digits is 35, while the sum is 15.

The square root of 11751 is about 108.4020295013. The cubic root of 11751 is about 22.7348246419.

It can be divided in two parts, 1175 and 1, that added together give a triangular number (1176 = T₄₈).

The spelling of 11751 in words is "eleven thousand, seven hundred fifty-one".