13533663 has 16 divisors (see below), whose sum is σ = 21200256. Its totient is φ = 7571040.

The previous prime is 13533629. The next prime is 13533673. The reversal of 13533663 is 36633531.

13533663 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13533663 - 2⁹ = 13533151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13533663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533623) 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, 15345 + ... + 16202.

It is an arithmetic number, because the mean of its divisors is an integer number (1325016).

Almost surely, 2^13533663 is an apocalyptic number.

13533663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13533663 is a deficient number, since it is larger than the sum of its proper divisors (7666593).

13533663 is a wasteful number, since it uses less digits than its factorization.

13533663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31574.

The product of its digits is 14580, while the sum is 30.

The square root of 13533663 is about 3678.8127160811. The cubic root of 13533663 is about 238.3079071555.

It can be divided in two parts, 13533 and 663, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13533663 in words is "thirteen million, five hundred thirty-three thousand, six hundred sixty-three".