43542 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 13920.

The previous prime is 43541. The next prime is 43543. The reversal of 43542 is 24534.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (43541) and next prime (43543).

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

It is a d-powerful number, because it can be written as 4³ + 3⁸ + 5⁵ + 4⁵ + 2¹⁵ .

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43541) 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 11 ways as a sum of consecutive naturals, for example, 709 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁴³⁵⁴² is an apocalyptic number.

43542 is an abundant number, since it is smaller than the sum of its proper divisors (54738).

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 (49140).

43542 is a wasteful number, since it uses less digits than its factorization.

43542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 43542 is about 208.6671991474. The cubic root of 43542 is about 35.1805634776.

It can be divided in two parts, 4354 and 2, that added together give a square (4356 = 66²).

The spelling of 43542 in words is "forty-three thousand, five hundred forty-two".