13833313 has 8 divisors (see below), whose sum is σ = 14945000. Its totient is φ = 12728448.

The previous prime is 13833307. The next prime is 13833367. The reversal of 13833313 is 31333831.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 13712209 = 348^2 + 3703^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13833313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13833013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3013 + ... + 6061.

It is an arithmetic number, because the mean of its divisors is an integer number (1868125).

Almost surely, 2^13833313 is an apocalyptic number.

13833313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13833313 is a deficient number, since it is larger than the sum of its proper divisors (1111687).

13833313 is a wasteful number, since it uses less digits than its factorization.

13833313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411.

The product of its digits is 1944, while the sum is 25.

The square root of 13833313 is about 3719.3162005939. The cubic root of 13833313 is about 240.0538825778.

The spelling of 13833313 in words is "thirteen million, eight hundred thirty-three thousand, three hundred thirteen".