13982256 has 60 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 4604160.

The previous prime is 13982231. The next prime is 13982327. The reversal of 13982256 is 65228931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13982256.

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 11 ways as a sum of consecutive naturals, for example, 12271 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 2^13982256 is an apocalyptic number.

13982256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

13982256 is an abundant number, since it is smaller than the sum of its proper divisors (25624584).

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

13982256 is a wasteful number, since it uses less digits than its factorization.

13982256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1185 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13982256 is about 3739.2854932460. The cubic root of 13982256 is about 240.9123605973.

The spelling of 13982256 in words is "thirteen million, nine hundred eighty-two thousand, two hundred fifty-six".