14415 has 12 divisors (see below), whose sum is σ = 23832. Its totient is φ = 7440.

The previous prime is 14411. The next prime is 14419. The reversal of 14415 is 51441.

14415 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14411) and next prime (14419).

It is not a de Polignac number, because 14415 - 2² = 14411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

14415 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 14394 and 14403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14411) 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, 450 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (1986).

2¹⁴⁴¹⁵ is an apocalyptic number.

14415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14415 is a deficient number, since it is larger than the sum of its proper divisors (9417).

14415 is an equidigital number, since it uses as much as digits as its factorization.

14415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 14415 is about 120.0624837324. The cubic root of 14415 is about 24.3372525536.

Subtracting from 14415 its sum of digits (15), we obtain a square (14400 = 120²).

Multiplying 14415 by its sum of digits (15), we get a square (216225 = 465²).

14415 divided by its sum of digits (15) gives a square (961 = 31²).

Adding to 14415 its reverse (51441), we get a palindrome (65856).

The spelling of 14415 in words is "fourteen thousand, four hundred fifteen".