14751 has 12 divisors (see below), whose sum is σ = 23400. Its totient is φ = 8880.

The previous prime is 14747. The next prime is 14753. The reversal of 14751 is 15741.

It is not a de Polignac number, because 14751 - 2² = 14747 is a prime.

14751 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9 and base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14751.

It is not an unprimeable number, because it can be changed into a prime (14753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2¹⁴⁷⁵¹ is an apocalyptic number.

14751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14751 is a deficient number, since it is larger than the sum of its proper divisors (8649).

14751 is a wasteful number, since it uses less digits than its factorization.

14751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 14751 is about 121.4536948800. The cubic root of 14751 is about 24.5248948675.

Subtracting 14751 from its reverse (15741), we obtain a triangular number (990 = T₄₄).

The spelling of 14751 in words is "fourteen thousand, seven hundred fifty-one".