12415 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 9120.

The previous prime is 12413. The next prime is 12421. The reversal of 12415 is 51421.

12415 is nontrivially palindromic in base 12.

12415 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12415 - 2¹ = 12413 is a prime.

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

It is a d-powerful number, because it can be written as 1 + 2¹³ + 4⁶ + 1 + 5³ .

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12395 and 12404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413) 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, 31 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2¹²⁴¹⁵ is an apocalyptic number.

12415 is a deficient number, since it is larger than the sum of its proper divisors (3713).

12415 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 12415 = (51124)₇.

12415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its digits is 40, while the sum is 13.

The square root of 12415 is about 111.4226188886. The cubic root of 12415 is about 23.1552198049.

Adding to 12415 its reverse (51421), we get a palindrome (63836).

The spelling of 12415 in words is "twelve thousand, four hundred fifteen".