13216905 has 64 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 6110208.

The previous prime is 13216901. The next prime is 13216909. The reversal of 13216905 is 50961231.

13216905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13216901) and next prime (13216909).

It is not a de Polignac number, because 13216905 - 2² = 13216901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13216901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29614 + ... + 30056.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 2^13216905 is an apocalyptic number.

13216905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13216905 is an abundant number, since it is smaller than the sum of its proper divisors (13636215).

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

13216905 is a wasteful number, since it uses less digits than its factorization.

13216905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13216905 is about 3635.5061545815. The cubic root of 13216905 is about 236.4339962446.

The spelling of 13216905 in words is "thirteen million, two hundred sixteen thousand, nine hundred five".