14838201 has 16 divisors (see below), whose sum is σ = 25123200. Its totient is φ = 8478864.

The previous prime is 14838191. The next prime is 14838209. The reversal of 14838201 is 10283841.

It is not a de Polignac number, because 14838201 - 2⁶ = 14838137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14838209) 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 15 ways as a sum of consecutive naturals, for example, 39066 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (1570200).

Almost surely, 2^14838201 is an apocalyptic number.

It is an amenable number.

14838201 is a deficient number, since it is larger than the sum of its proper divisors (10284999).

14838201 is an equidigital number, since it uses as much as digits as its factorization.

14838201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78525 (or 78519 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14838201 is about 3852.0385512090. The cubic root of 14838201 is about 245.7312651321.

The spelling of 14838201 in words is "fourteen million, eight hundred thirty-eight thousand, two hundred one".