43688 has 16 divisors (see below), whose sum is σ = 84480. Its totient is φ = 21168.

The previous prime is 43669. The next prime is 43691. The reversal of 43688 is 88634.

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 43688.

It is an unprimeable number.

43688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

43688 is a Friedman number, since it can be written as 86*(8^3-4), using all its digits and the basic arithmetic operations.

2⁴³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

43688 is a deficient number, since it is larger than the sum of its proper divisors (40792).

43688 is a wasteful number, since it uses less digits than its factorization.

43688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 43688 is about 209.0167457406. The cubic root of 43688 is about 35.2198407429.

It can be divided in two parts, 43 and 688, that multiplied together give a square (29584 = 172²).

The spelling of 43688 in words is "forty-three thousand, six hundred eighty-eight".