13933008 has 30 divisors (see below), whose sum is σ = 38993474. Its totient is φ = 4644288.

The previous prime is 13933001. The next prime is 13933057. The reversal of 13933008 is 80033931.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 5184 = 3732^2 + 72^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933001) 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 5 ways as a sum of consecutive naturals, for example, 48235 + ... + 48522.

Almost surely, 2^13933008 is an apocalyptic number.

13933008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13933008 is an abundant number, since it is smaller than the sum of its proper divisors (25060466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13933008 is a wasteful number, since it uses less digits than its factorization.

13933008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96771 (or 96762 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13933008 is about 3732.6944691469. The cubic root of 13933008 is about 240.6291824314.

Adding to 13933008 its reverse (80033931), we get a palindrome (93966939).

The spelling of 13933008 in words is "thirteen million, nine hundred thirty-three thousand, eight".