366084 has 18 divisors (see below), whose sum is σ = 925470. Its totient is φ = 122016.

The previous prime is 366077. The next prime is 366097. The reversal of 366084 is 480663.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 6084 = 600^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366084.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5049 + ... + 5120.

It is an arithmetic number, because the mean of its divisors is an integer number (51415).

2³⁶⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

366084 is an abundant number, since it is smaller than the sum of its proper divisors (559386).

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

366084 is a wasteful number, since it uses less digits than its factorization.

366084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 366084 is about 605.0487583658. The cubic root of 366084 is about 71.5363728412.

It can be divided in two parts, 36 and 6084, that multiplied together give a square (219024 = 468²).

The spelling of 366084 in words is "three hundred sixty-six thousand, eighty-four".