14864 has 10 divisors (see below), whose sum is σ = 28830. Its totient is φ = 7424.

The previous prime is 14851. The next prime is 14867. The reversal of 14864 is 46841.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 6400 = 92^2 + 80^2 .

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14864.

It is not an unprimeable number, because it can be changed into a prime (14867) by changing a digit.

14864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 449 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (2883).

2¹⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

14864 is a deficient number, since it is larger than the sum of its proper divisors (13966).

14864 is an equidigital number, since it uses as much as digits as its factorization.

14864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 14864 is about 121.9180052330. The cubic root of 14864 is about 24.5873599329.

Subtracting from 14864 its sum of digits (23), we obtain a palindrome (14841).

It can be divided in two parts, 148 and 64, that added together give a palindrome (212).

The spelling of 14864 in words is "fourteen thousand, eight hundred sixty-four".