14007312 has 120 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 4112640.

The previous prime is 14007311. The next prime is 14007347. The reversal of 14007312 is 21370041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14007311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58489 + ... + 58727.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 2^14007312 is an apocalyptic number.

14007312 is a gapful number since it is divisible by the number (12) 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 14007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

14007312 is an abundant number, since it is smaller than the sum of its proper divisors (30097008).

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

14007312 is a wasteful number, since it uses less digits than its factorization.

14007312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14007312 is about 3742.6343663254. The cubic root of 14007312 is about 241.0561785438.

Adding to 14007312 its reverse (21370041), we get a palindrome (35377353).

The spelling of 14007312 in words is "fourteen million, seven thousand, three hundred twelve".