13215 has 8 divisors (see below), whose sum is σ = 21168. Its totient is φ = 7040.

The previous prime is 13187. The next prime is 13217. The reversal of 13215 is 51231.

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

It is not a de Polignac number, because 13215 - 2⁵ = 13183 is a prime.

13215 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217) 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, 426 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2¹³²¹⁵ is an apocalyptic number.

13215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13215 is a deficient number, since it is larger than the sum of its proper divisors (7953).

13215 is an equidigital number, since it uses as much as digits as its factorization.

13215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889.

The product of its digits is 30, while the sum is 12.

The square root of 13215 is about 114.9565135171. The cubic root of 13215 is about 23.6422636338.

Subtracting from 13215 its sum of digits (12), we obtain a triangular number (13203 = T₁₆₂).

Adding to 13215 its reverse (51231), we get a palindrome (64446).

It can be divided in two parts, 1321 and 5, that added together give a triangular number (1326 = T₅₁).

The spelling of 13215 in words is "thirteen thousand, two hundred fifteen".