13827212 has 72 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 5425056.

The previous prime is 13827211. The next prime is 13827217. The reversal of 13827212 is 21272831.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13827211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174989 + ... + 175067.

It is an arithmetic number, because the mean of its divisors is an integer number (425600).

Almost surely, 2^13827212 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 13827212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

13827212 is an abundant number, since it is smaller than the sum of its proper divisors (16815988).

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

13827212 is a wasteful number, since it uses less digits than its factorization.

13827212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 13827212 is about 3718.4959324974. The cubic root of 13827212 is about 240.0185865235.

The spelling of 13827212 in words is "thirteen million, eight hundred twenty-seven thousand, two hundred twelve".