13687875 has 48 divisors (see below), whose sum is σ = 25796160. Its totient is φ = 6982800.

The previous prime is 13687871. The next prime is 13687879. The reversal of 13687875 is 57878631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (13687871) and next prime (13687879).

It is not a de Polignac number, because 13687875 - 2² = 13687871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (282240) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 13687875.

It is not an unprimeable number, because it can be changed into a prime (13687871) 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 47 ways as a sum of consecutive naturals, for example, 595114 + ... + 595136.

It is an arithmetic number, because the mean of its divisors is an integer number (537420).

Almost surely, 2^13687875 is an apocalyptic number.

13687875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13687875 is a deficient number, since it is larger than the sum of its proper divisors (12108285).

13687875 is an frugal number, since it uses more digits than its factorization.

13687875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 31 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 13687875 is about 3699.7128266934. The cubic root of 13687875 is about 239.2096396510.

The spelling of 13687875 in words is "thirteen million, six hundred eighty-seven thousand, eight hundred seventy-five".