14313200 has 60 divisors (see below), whose sum is σ = 37525128. Its totient is φ = 5203200.

The previous prime is 14313197. The next prime is 14313203. The reversal of 14313200 is 231341.

It is an interprime number because it is at equal distance from previous prime (14313197) and next prime (14313203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313203) 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 11 ways as a sum of consecutive naturals, for example, 2774 + ... + 6026.

Almost surely, 2^14313200 is an apocalyptic number.

14313200 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 14313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762564).

14313200 is an abundant number, since it is smaller than the sum of its proper divisors (23211928).

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

14313200 is a wasteful number, since it uses less digits than its factorization.

14313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14313200 is about 3783.2790010783. The cubic root of 14313200 is about 242.7982655097.

Adding to 14313200 its reverse (231341), we get a palindrome (14544541).

The spelling of 14313200 in words is "fourteen million, three hundred thirteen thousand, two hundred".