393282 has 16 divisors (see below), whose sum is σ = 874080. Its totient is φ = 131076.

The previous prime is 393271. The next prime is 393287. The reversal of 393282 is 282393.

393282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (393287) by changing a digit.

393282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3588 + ... + 3695.

It is an arithmetic number, because the mean of its divisors is an integer number (54630).

2³⁹³²⁸² is an apocalyptic number.

393282 is an abundant number, since it is smaller than the sum of its proper divisors (480798).

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

393282 is a wasteful number, since it uses less digits than its factorization.

393282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7288 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 393282 is about 627.1219977006. The cubic root of 393282 is about 73.2658102058.

Subtracting from 393282 its reverse (282393), we obtain a square (110889 = 333²).

It can be divided in two parts, 39 and 3282, that added together give a triangular number (3321 = T₈₁).

The spelling of 393282 in words is "three hundred ninety-three thousand, two hundred eighty-two".