13382993 has 8 divisors (see below), whose sum is σ = 14562408. Its totient is φ = 12225024.

The previous prime is 13382983. The next prime is 13383037. The reversal of 13382993 is 39928331.

13382993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3598609 + 9784384 = 1897^2 + 3128^2 .

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 13382993 - 2⁸ = 13382737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13382903) 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, 4046 + ... + 6567.

It is an arithmetic number, because the mean of its divisors is an integer number (1820301).

Almost surely, 2^13382993 is an apocalyptic number.

13382993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13382993 is a deficient number, since it is larger than the sum of its proper divisors (1179415).

13382993 is a wasteful number, since it uses less digits than its factorization.

13382993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723.

The product of its digits is 34992, while the sum is 38.

The square root of 13382993 is about 3658.2773268302. The cubic root of 13382993 is about 237.4202457971.

The spelling of 13382993 in words is "thirteen million, three hundred eighty-two thousand, nine hundred ninety-three".