13997800 has 96 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 5012480.

The previous prime is 13997791. The next prime is 13997801. The reversal of 13997800 is 879931.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13997800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997801) 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, 78111 + ... + 78289.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^13997800 is an apocalyptic number.

13997800 is a gapful number since it is divisible by the number (10) 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 13997800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

13997800 is an abundant number, since it is smaller than the sum of its proper divisors (22160600).

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

13997800 is a wasteful number, since it uses less digits than its factorization.

13997800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 13997800 is about 3741.3633878574. The cubic root of 13997800 is about 241.0016012015.

The spelling of 13997800 in words is "thirteen million, nine hundred ninety-seven thousand, eight hundred".