42536 has 16 divisors (see below), whose sum is σ = 86100. Its totient is φ = 19584.

The previous prime is 42533. The next prime is 42557. The reversal of 42536 is 63524.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 100 = 206^2 + 10^2 .

It is a super-2 number, since 2×42536² = 3618622592, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4⁷ + 2¹¹ + 5⁵ + 3⁹ + 6⁴ .

It is not an unprimeable number, because it can be changed into a prime (42533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 308.

2⁴²⁵³⁶ is an apocalyptic number.

It is an amenable number.

42536 is an abundant number, since it is smaller than the sum of its proper divisors (43564).

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 (43050).

42536 is a wasteful number, since it uses less digits than its factorization.

42536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 42536 is about 206.2425756239. The cubic root of 42536 is about 34.9075109107.

The spelling of 42536 in words is "forty-two thousand, five hundred thirty-six".