36042 has 8 divisors (see below), whose sum is σ = 72096. Its totient is φ = 12012.

The previous prime is 36037. The next prime is 36061. The reversal of 36042 is 24063.

It is a sphenic number, since it is the product of 3 distinct primes.

36042 is an admirable number.

It is an unprimeable number.

36042 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, 2998 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (9012).

2³⁶⁰⁴² is an apocalyptic number.

36042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (36048).

36042 is a wasteful number, since it uses less digits than its factorization.

36042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36042 is about 189.8473070654. The cubic root of 36042 is about 33.0321083267.

The spelling of 36042 in words is "thirty-six thousand, forty-two", and thus it is an eban number.