14097312 has 72 divisors (see below), whose sum is σ = 41408640. Its totient is φ = 4544640.

The previous prime is 14097289. The next prime is 14097323. The reversal of 14097312 is 21379041.

14097312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8139 + ... + 9717.

It is an arithmetic number, because the mean of its divisors is an integer number (575120).

Almost surely, 2^14097312 is an apocalyptic number.

14097312 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 14097312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704320).

14097312 is an abundant number, since it is smaller than the sum of its proper divisors (27311328).

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

14097312 is a wasteful number, since it uses less digits than its factorization.

14097312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14097312 is about 3754.6387309567. The cubic root of 14097312 is about 241.5713560474.

The spelling of 14097312 in words is "fourteen million, ninety-seven thousand, three hundred twelve".