13821712 has 40 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 6517280.

The previous prime is 13821707. The next prime is 13821733. The reversal of 13821712 is 21712831.

It is a happy number.

It is a super-2 number, since 2×13821712² = 382079445221888, which contains 22 as substring.

Its product of digits (672) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 194637 + ... + 194707.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 2^13821712 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 13821712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

13821712 is an abundant number, since it is smaller than the sum of its proper divisors (14569328).

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

13821712 is an frugal number, since it uses more digits than its factorization.

13821712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 13821712 is about 3717.7563126165. The cubic root of 13821712 is about 239.9867585287.

The spelling of 13821712 in words is "thirteen million, eight hundred twenty-one thousand, seven hundred twelve".