14404 has 12 divisors (see below), whose sum is σ = 27244. Its totient is φ = 6624.

The previous prime is 14401. The next prime is 14407. The reversal of 14404 is 40441.

14404 = 12² + 13² + ... + 35².

It is a happy number.

14404 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (14401) and next prime (14407).

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 12100 = 48^2 + 110^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 190.

2¹⁴⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

14404 is a deficient number, since it is larger than the sum of its proper divisors (12840).

14404 is a wasteful number, since it uses less digits than its factorization.

14404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 14404 is about 120.0166655094. The cubic root of 14404 is about 24.3310604412.

Adding to 14404 its reverse (40441), we get a palindrome (54845).

It can be divided in two parts, 1440 and 4, that added together give a square (1444 = 38²).

The spelling of 14404 in words is "fourteen thousand, four hundred four", and thus it is an iban number.