43686 has 16 divisors (see below), whose sum is σ = 97200. Its totient is φ = 14544.

The previous prime is 43669. The next prime is 43691. The reversal of 43686 is 68634.

43686 = 103² + 104² + ... + 106².

43686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

43686 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁴³⁶⁸⁶ is an apocalyptic number.

43686 is an abundant number, since it is smaller than the sum of its proper divisors (53514).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

43686 is a wasteful number, since it uses less digits than its factorization.

43686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 43686 is about 209.0119613802. The cubic root of 43686 is about 35.2193032898.

It can be divided in two parts, 43 and 686, that added together give a 6-th power (729 = 3⁶).

The spelling of 43686 in words is "forty-three thousand, six hundred eighty-six".