43038 has 16 divisors (see below), whose sum is σ = 95760. Its totient is φ = 14328.

The previous prime is 43037. The next prime is 43049. The reversal of 43038 is 83034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 43038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 345 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁴³⁰³⁸ is an apocalyptic number.

43038 is an abundant number, since it is smaller than the sum of its proper divisors (52722).

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 (47880).

43038 is a wasteful number, since it uses less digits than its factorization.

43038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 43038 is about 207.4560194354. The cubic root of 43038 is about 35.0442976526.

The spelling of 43038 in words is "forty-three thousand, thirty-eight".