13805000 has 80 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 5000000.

The previous prime is 13804993. The next prime is 13805009. The reversal of 13805000 is 50831.

It is a hoax number, since the sum of its digits (17) 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 13805000.

It is not an unprimeable number, because it can be changed into a prime (13805009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54875 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (442827).

Almost surely, 2^13805000 is an apocalyptic number.

13805000 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 13805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).

13805000 is an abundant number, since it is smaller than the sum of its proper divisors (21621160).

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

13805000 is a wasteful number, since it uses less digits than its factorization.

13805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13805000 is about 3715.5080406319. The cubic root of 13805000 is about 239.8899958836.

Adding to 13805000 its reverse (50831), we get a palindrome (13855831).

The spelling of 13805000 in words is "thirteen million, eight hundred five thousand".