8751 has 4 divisors (see below), whose sum is σ = 11672. Its totient is φ = 5832.

The previous prime is 8747. The next prime is 8753. The reversal of 8751 is 1578.

It is a happy number.

8751 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a trimorphic number since its cube, 670151588751, ends in 8751.

It is not a de Polignac number, because 8751 - 2² = 8747 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8753) 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 in 3 ways as a sum of consecutive naturals, for example, 1456 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (2918).

2⁸⁷⁵¹ is an apocalyptic number.

8751 is a deficient number, since it is larger than the sum of its proper divisors (2921).

8751 is a wasteful number, since it uses less digits than its factorization.

8751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920.

The product of its digits is 280, while the sum is 21.

The square root of 8751 is about 93.5467797415. The cubic root of 8751 is about 20.6072114759.

The spelling of 8751 in words is "eight thousand, seven hundred fifty-one".