14314000 has 80 divisors (see below), whose sum is σ = 36734256. Its totient is φ = 5376000.

The previous prime is 14313997. The next prime is 14314007. The reversal of 14314000 is 41341.

14314000 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 7595536 + 6718464 = 2756^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14314007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33790 + ... + 34210.

Almost surely, 2^14314000 is an apocalyptic number.

14314000 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 14314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367128).

14314000 is an abundant number, since it is smaller than the sum of its proper divisors (22420256).

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

14314000 is a wasteful number, since it uses less digits than its factorization.

14314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14314000 is about 3783.3847279916. The cubic root of 14314000 is about 242.8027889564.

Adding to 14314000 its reverse (41341), we get a palindrome (14355341).

The spelling of 14314000 in words is "fourteen million, three hundred fourteen thousand".