13853100 has 72 divisors (see below), whose sum is σ = 40792528. Its totient is φ = 3628800.

The previous prime is 13853089. The next prime is 13853101. The reversal of 13853100 is 135831.

It is a happy number.

13853100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13853100² = 383816759220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13853101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17922 + ... + 18678.

Almost surely, 2^13853100 is an apocalyptic number.

13853100 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 13853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396264).

13853100 is an abundant number, since it is smaller than the sum of its proper divisors (26939428).

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

13853100 is a wasteful number, since it uses less digits than its factorization.

13853100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13853100 is about 3721.9752820243. The cubic root of 13853100 is about 240.1682847512.

Adding to 13853100 its reverse (135831), we get a palindrome (13988931).

The spelling of 13853100 in words is "thirteen million, eight hundred fifty-three thousand, one hundred".