13986500 has 48 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 5084000.

The previous prime is 13986499. The next prime is 13986509. The reversal of 13986500 is 568931.

13986500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13986509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 2^13986500 is an apocalyptic number.

13986500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13986500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668288).

13986500 is an abundant number, since it is smaller than the sum of its proper divisors (19350076).

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

13986500 is a wasteful number, since it uses less digits than its factorization.

13986500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 13986500 is about 3739.8529382851. The cubic root of 13986500 is about 240.9367326450.

Subtracting from 13986500 its reverse (568931), we obtain a square (13417569 = 3663²).

The spelling of 13986500 in words is "thirteen million, nine hundred eighty-six thousand, five hundred".