14884 has 9 divisors (see below), whose sum is σ = 26481. Its totient is φ = 7320.

The previous prime is 14879. The next prime is 14887. The reversal of 14884 is 48841.

14884 = T_{121} + T_{122}.

The square root of 14884 is 122.

It is a perfect power (a square), and thus also a powerful number.

14884 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 484 + 14400 = 22^2 + 120^2 .

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (14887) by changing a digit.

14884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 214 + ... + 274.

2^{14884} is an apocalyptic number.

14884 is the 122-nd square number.

It is an amenable number.

14884 is a deficient number, since it is larger than the sum of its proper divisors (11597).

14884 is an equidigital number, since it uses as much as digits as its factorization.

14884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The cubic root of 14884 is about 24.5983826905.

Multiplying 14884 by its sum of digits (25), we get a square (372100 = 610^{2}).

Multiplying 14884 by its product of digits (1024), we get a square (15241216 = 3904^{2}).

Multiplying 14884 by its reverse (48841), we get a square (726949444 = 26962^{2}).

It can be divided in two parts, 148 and 84, that added together give a palindrome (232).

The spelling of 14884 in words is "fourteen thousand, eight hundred eighty-four".

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