393042 has 16 divisors (see below), whose sum is σ = 846720. Its totient is φ = 120912.

The previous prime is 393031. The next prime is 393059. The reversal of 393042 is 240393.

393042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2³⁹³⁰⁴² is an apocalyptic number.

393042 is an abundant number, since it is smaller than the sum of its proper divisors (453678).

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

393042 is a wasteful number, since it uses less digits than its factorization.

393042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 393042 is about 626.9306181708. The cubic root of 393042 is about 73.2509037074.

It can be divided in two parts, 39 and 3042, that added together give a triangular number (3081 = T₇₈).

The spelling of 393042 in words is "three hundred ninety-three thousand, forty-two".