39042 has 20 divisors (see below), whose sum is σ = 87846. Its totient is φ = 12960.

The previous prime is 39041. The next prime is 39043. The reversal of 39042 is 24093.

It is an interprime number because it is at equal distance from previous prime (39041) and next prime (39043).

It can be written as a sum of positive squares in only one way, i.e., 29241 + 9801 = 171^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39042.

It is not an unprimeable number, because it can be changed into a prime (39041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42 + ... + 282.

2³⁹⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43923).

39042 is an abundant number, since it is smaller than the sum of its proper divisors (48804).

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

39042 is a wasteful number, since it uses less digits than its factorization.

39042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 39042 is about 197.5904856009. The cubic root of 39042 is about 33.9242836423.

Adding to 39042 its sum of digits (18), we get a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 3 and 9042, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 39042 in words is "thirty-nine thousand, forty-two".