13885000 has 40 divisors (see below), whose sum is σ = 32544270. Its totient is φ = 5552000.

The previous prime is 13884967. The next prime is 13885009. The reversal of 13885000 is 58831.

It can be written as a sum of positive squares in 5 ways, for example, as 91204 + 13793796 = 302^2 + 3714^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13885009) 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 9 ways as a sum of consecutive naturals, for example, 3612 + ... + 6388.

Almost surely, 2^13885000 is an apocalyptic number.

13885000 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 13885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272135).

13885000 is an abundant number, since it is smaller than the sum of its proper divisors (18659270).

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

13885000 is an equidigital number, since it uses as much as digits as its factorization.

13885000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 13885000 is about 3726.2581767773. The cubic root of 13885000 is about 240.3524912970.

The spelling of 13885000 in words is "thirteen million, eight hundred eighty-five thousand".