9042 has 16 divisors (see below), whose sum is σ = 19872. Its totient is φ = 2720.

The previous prime is 9041. The next prime is 9043. The reversal of 9042 is 2409.

It is an interprime number because it is at equal distance from previous prime (9041) and next prime (9043).

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9042.

It is not an unprimeable number, because it can be changed into a prime (9041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1242).

2⁹⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936).

9042 is an abundant number, since it is smaller than the sum of its proper divisors (10830).

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

9042 is a wasteful number, since it uses less digits than its factorization.

9042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 9042 is about 95.0894315894. The cubic root of 9042 is about 20.8331448872.

The spelling of 9042 in words is "nine thousand, forty-two".