13305733 has 8 divisors (see below), whose sum is σ = 15399680. Its totient is φ = 11260080.

The previous prime is 13305709. The next prime is 13305749. The reversal of 13305733 is 33750331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13305733 - 2⁹ = 13305221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13305698 and 13305707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305793) 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 7 ways as a sum of consecutive naturals, for example, 11478 + ... + 12583.

It is an arithmetic number, because the mean of its divisors is an integer number (1924960).

Almost surely, 2^13305733 is an apocalyptic number.

It is an amenable number.

13305733 is a deficient number, since it is larger than the sum of its proper divisors (2093947).

13305733 is an equidigital number, since it uses as much as digits as its factorization.

13305733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147.

The product of its (nonzero) digits is 2835, while the sum is 25.

The square root of 13305733 is about 3647.7024275563. The cubic root of 13305733 is about 236.9624882027.

The spelling of 13305733 in words is "thirteen million, three hundred five thousand, seven hundred thirty-three".