42534 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 13248.

The previous prime is 42533. The next prime is 42557. The reversal of 42534 is 43524.

It is a happy number.

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 4² + 2¹⁵ + 5⁵ + 3⁸ + 4³ .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533) 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, 237 + ... + 375.

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

2⁴²⁵³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

42534 is an abundant number, since it is smaller than the sum of its proper divisors (55746).

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

42534 is a wasteful number, since it uses less digits than its factorization.

42534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

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

The square root of 42534 is about 206.2377269076. The cubic root of 42534 is about 34.9069637968.

Subtracting 42534 from its reverse (43524), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 42 and 534, that added together give a square (576 = 24²).

The spelling of 42534 in words is "forty-two thousand, five hundred thirty-four".