13857000 has 128 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 3552000.

The previous prime is 13856993. The next prime is 13857001. The reversal of 13857000 is 75831.

13857000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92926 + ... + 93074.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 2^13857000 is an apocalyptic number.

13857000 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 13857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

13857000 is an abundant number, since it is smaller than the sum of its proper divisors (31071000).

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

13857000 is a wasteful number, since it uses less digits than its factorization.

13857000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13857000 is about 3722.4991605103. The cubic root of 13857000 is about 240.1908204635.

It can be divided in two parts, 1385 and 7000, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 13857000 in words is "thirteen million, eight hundred fifty-seven thousand".