13833800 has 36 divisors (see below), whose sum is σ = 32286345. Its totient is φ = 5512480.

The previous prime is 13833797. The next prime is 13833803. The reversal of 13833800 is 833831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13833797) and next prime (13833803).

It can be written as a sum of positive squares in 2 ways, for example, as 13557124 + 276676 = 3682^2 + 526^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2630.

It is a self number, because there is not a number n which added to its sum of digits gives 13833800.

It is not an unprimeable number, because it can be changed into a prime (13833803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52469 + ... + 52731.

Almost surely, 2^13833800 is an apocalyptic number.

13833800 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 13833800

13833800 is an abundant number, since it is smaller than the sum of its proper divisors (18452545).

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

13833800 is an equidigital number, since it uses as much as digits as its factorization.

13833800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13833800 is about 3719.3816690412. The cubic root of 13833800 is about 240.0566995667.

The spelling of 13833800 in words is "thirteen million, eight hundred thirty-three thousand, eight hundred".