13416 has 32 divisors (see below), whose sum is σ = 36960. Its totient is φ = 4032.

The previous prime is 13411. The next prime is 13417. The reversal of 13416 is 61431.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13395 and 13404.

It is not an unprimeable number, because it can be changed into a prime (13411) by changing a digit.

13416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (1155).

2¹³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

13416 is an abundant number, since it is smaller than the sum of its proper divisors (23544).

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

13416 is a wasteful number, since it uses less digits than its factorization.

13416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13416 is about 115.8274578846. The cubic root of 13416 is about 23.7615271836.

Adding to 13416 its sum of digits (15), we get a palindrome (13431).

Adding to 13416 its reverse (61431), we get a palindrome (74847).

The spelling of 13416 in words is "thirteen thousand, four hundred sixteen".