14766 has 16 divisors (see below), whose sum is σ = 31104. Its totient is φ = 4664.

The previous prime is 14759. The next prime is 14767. The reversal of 14766 is 66741.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 12.

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 14766.

It is not an unprimeable number, because it can be changed into a prime (14767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2¹⁴⁷⁶⁶ is an apocalyptic number.

14766 is an abundant number, since it is smaller than the sum of its proper divisors (16338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

14766 is a wasteful number, since it uses less digits than its factorization.

14766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its digits is 1008, while the sum is 24.

The square root of 14766 is about 121.5154311189. The cubic root of 14766 is about 24.5332050114.

It can be divided in two parts, 14 and 766, that added together give a triangular number (780 = T₃₉).

The spelling of 14766 in words is "fourteen thousand, seven hundred sixty-six".