13981072 has 60 divisors (see below), whose sum is σ = 33396300. Its totient is φ = 5634048.

The previous prime is 13981027. The next prime is 13981111. The reversal of 13981072 is 27018931.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 2119936 = 3444^2 + 1456^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 12804 + ... + 13852.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^13981072 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 13981072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698150).

13981072 is an abundant number, since it is smaller than the sum of its proper divisors (19415228).

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

13981072 is a wasteful number, since it uses less digits than its factorization.

13981072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 13981072 is about 3739.1271708783. The cubic root of 13981072 is about 240.9055603526.

The spelling of 13981072 in words is "thirteen million, nine hundred eighty-one thousand, seventy-two".