13985004 has 48 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4155840.

The previous prime is 13984981. The next prime is 13985009. The reversal of 13985004 is 40058931.

It is not an unprimeable number, because it can be changed into a prime (13985009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^13985004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13985004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13985004 is an abundant number, since it is smaller than the sum of its proper divisors (22302996).

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

13985004 is a wasteful number, since it uses less digits than its factorization.

13985004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13985004 is about 3739.6529250721. The cubic root of 13985004 is about 240.9281421183.

The spelling of 13985004 in words is "thirteen million, nine hundred eighty-five thousand, four".