393642 has 24 divisors (see below), whose sum is σ = 898560. Its totient is φ = 124200.

The previous prime is 393637. The next prime is 393649. The reversal of 393642 is 246393.

It is not an unprimeable number, because it can be changed into a prime (393649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 234 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2³⁹³⁶⁴² is an apocalyptic number.

393642 is an abundant number, since it is smaller than the sum of its proper divisors (504918).

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

393642 is a wasteful number, since it uses less digits than its factorization.

393642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 393642 is about 627.4089575389. The cubic root of 393642 is about 73.2881585867.

It can be divided in two parts, 393 and 642, that added together give a triangular number (1035 = T₄₅).

The spelling of 393642 in words is "three hundred ninety-three thousand, six hundred forty-two".