13749904 has 40 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 5858688.

The previous prime is 13749893. The next prime is 13749907. The reversal of 13749904 is 40994731.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13749907) 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, 32607 + ... + 33025.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^13749904 is an apocalyptic number.

13749904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13749904 is an abundant number, since it is smaller than the sum of its proper divisors (16873136).

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

13749904 is a wasteful number, since it uses less digits than its factorization.

13749904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 13749904 is about 3708.0862988879. The cubic root of 13749904 is about 239.5704353048.

The spelling of 13749904 in words is "thirteen million, seven hundred forty-nine thousand, nine hundred four".