13801984 has 40 divisors (see below), whose sum is σ = 31524768. Its totient is φ = 5913600.

The previous prime is 13801981. The next prime is 13801993. The reversal of 13801984 is 48910831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13801981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1659 + ... + 5509.

Almost surely, 2^13801984 is an apocalyptic number.

13801984 is a gapful number since it is divisible by the number (14) 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 13801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762384).

13801984 is an abundant number, since it is smaller than the sum of its proper divisors (17722784).

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

13801984 is an frugal number, since it uses more digits than its factorization.

13801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 13801984 is about 3715.1021520276. The cubic root of 13801984 is about 239.8725248967.

It can be divided in two parts, 1380 and 1984, that added together give a square (3364 = 58²).

The spelling of 13801984 in words is "thirteen million, eight hundred one thousand, nine hundred eighty-four".