13144833 has 12 divisors (see below), whose sum is σ = 20447700. Its totient is φ = 8089056.

The previous prime is 13144823. The next prime is 13144841. The reversal of 13144833 is 33844131.

It can be written as a sum of positive squares in 2 ways, for example, as 5919489 + 7225344 = 2433^2 + 2688^2 .

It is not a de Polignac number, because 13144833 - 2⁸ = 13144577 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13144797 and 13144806.

It is not an unprimeable number, because it can be changed into a prime (13144823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56058 + ... + 56291.

It is an arithmetic number, because the mean of its divisors is an integer number (1703975).

Almost surely, 2^13144833 is an apocalyptic number.

13144833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13144833 is a deficient number, since it is larger than the sum of its proper divisors (7302867).

13144833 is a wasteful number, since it uses less digits than its factorization.

13144833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112368 (or 112365 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13144833 is about 3625.5803673343. The cubic root of 13144833 is about 236.0034532196.

Adding to 13144833 its reverse (33844131), we get a palindrome (46988964).

The spelling of 13144833 in words is "thirteen million, one hundred forty-four thousand, eight hundred thirty-three".