14205000 has 80 divisors (see below), whose sum is σ = 44423280. Its totient is φ = 3784000.

The previous prime is 14204987. The next prime is 14205001. The reversal of 14205000 is 50241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14205001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14527 + ... + 15473.

It is an arithmetic number, because the mean of its divisors is an integer number (555291).

Almost surely, 2^14205000 is an apocalyptic number.

14205000 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 14205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211640).

14205000 is an abundant number, since it is smaller than the sum of its proper divisors (30218280).

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

14205000 is an equidigital number, since it uses as much as digits as its factorization.

14205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 14205000 is about 3768.9521090086. The cubic root of 14205000 is about 242.1849097885.

Adding to 14205000 its reverse (50241), we get a palindrome (14255241).

The spelling of 14205000 in words is "fourteen million, two hundred five thousand".