15216 has 20 divisors (see below), whose sum is σ = 39432. Its totient is φ = 5056.

The previous prime is 15199. The next prime is 15217. The reversal of 15216 is 61251.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 15195 and 15204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 206.

2¹⁵²¹⁶ is an apocalyptic number.

15216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15216 is an abundant number, since it is smaller than the sum of its proper divisors (24216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19716).

15216 is a wasteful number, since it uses less digits than its factorization.

15216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

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

The square root of 15216 is about 123.3531515609. The cubic root of 15216 is about 24.7799352101.

Adding to 15216 its reverse (61251), we get a palindrome (76467).

It can be divided in two parts, 15 and 216, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 15216 in words is "fifteen thousand, two hundred sixteen".