393084 has 36 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 128160.

The previous prime is 393083. The next prime is 393097. The reversal of 393084 is 480393.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2107 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2³⁹³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

393084 is an abundant number, since it is smaller than the sum of its proper divisors (622476).

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

393084 is a wasteful number, since it uses less digits than its factorization.

393084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

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

The square root of 393084 is about 626.9641138056. The cubic root of 393084 is about 73.2535127826.

The spelling of 393084 in words is "three hundred ninety-three thousand, eighty-four".