30042 has 12 divisors (see below), whose sum is σ = 65130. Its totient is φ = 10008.

The previous prime is 30029. The next prime is 30047. The reversal of 30042 is 24003.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 4761 = 159^2 + 69^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30042.

It is not an unprimeable number, because it can be changed into a prime (30047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 817 + ... + 852.

2³⁰⁰⁴² is an apocalyptic number.

30042 is an abundant number, since it is smaller than the sum of its proper divisors (35088).

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

30042 is a wasteful number, since it uses less digits than its factorization.

30042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30042 is about 173.3262819079. The cubic root of 30042 is about 31.0868187163.

Adding to 30042 its reverse (24003), we get a palindrome (54045).

The spelling of 30042 in words is "thirty thousand, forty-two", and thus it is an eban number.