12615 has 12 divisors (see below), whose sum is σ = 20904. Its totient is φ = 6496.

The previous prime is 12613. The next prime is 12619. The reversal of 12615 is 51621.

12615 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12615 - 2¹ = 12613 is a prime.

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

It is a d-powerful number, because it can be written as 1 + 2¹³ + 6⁴ + 1 + 5⁵ .

12615 is an undulating number in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12594 and 12603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (1742).

2¹²⁶¹⁵ is an apocalyptic number.

12615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12615 is a deficient number, since it is larger than the sum of its proper divisors (8289).

12615 is an equidigital number, since it uses as much as digits as its factorization.

12615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 12615 is about 112.3165170400. The cubic root of 12615 is about 23.2788980478.

Multiplying 12615 by its sum of digits (15), we get a square (189225 = 435²).

12615 divided by its sum of digits (15) gives a square (841 = 29²).

Multiplying 12615 by its product of digits (60), we get a square (756900 = 870²).

It can be divided in two parts, 126 and 15, that added together give a palindrome (141).

The spelling of 12615 in words is "twelve thousand, six hundred fifteen".