390084 has 12 divisors (see below), whose sum is σ = 910224. Its totient is φ = 130024.

The previous prime is 390083. The next prime is 390097. The reversal of 390084 is 480093.

390084 = T₆₆ + T₆₇ + ... + T₁₃₇.

390084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (390083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16242 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (75852).

2³⁹⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

390084 is an abundant number, since it is smaller than the sum of its proper divisors (520140).

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

390084 is a wasteful number, since it uses less digits than its factorization.

390084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32514 (or 32512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 390084 is about 624.5670500435. The cubic root of 390084 is about 73.0666808005.

Subtracting 390084 from its reverse (480093), we obtain a palindrome (90009).

The spelling of 390084 in words is "three hundred ninety thousand, eighty-four".