13968033 has 16 divisors (see below), whose sum is σ = 19797696. Its totient is φ = 8729600.

The previous prime is 13968001. The next prime is 13968037. The reversal of 13968033 is 33086931.

It is a cyclic number.

It is not a de Polignac number, because 13968033 - 2⁵ = 13968001 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 13967985 and 13968003.

It is not an unprimeable number, because it can be changed into a prime (13968037) 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, 20110 + ... + 20792.

It is an arithmetic number, because the mean of its divisors is an integer number (1237356).

Almost surely, 2^13968033 is an apocalyptic number.

It is an amenable number.

13968033 is a deficient number, since it is larger than the sum of its proper divisors (5829663).

13968033 is a wasteful number, since it uses less digits than its factorization.

13968033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13968033 is about 3737.3831754317. The cubic root of 13968033 is about 240.8306461016.

The spelling of 13968033 in words is "thirteen million, nine hundred sixty-eight thousand, thirty-three".