366282 has 80 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 93312.

The previous prime is 366277. The next prime is 366287. The reversal of 366282 is 282663.

366282 is a `hidden beast` number, since 36 + 628 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (366277) and next prime (366287).

It is a super-3 number, since 3×366282³ = 147423930347333304, which contains 333 as substring.

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

Its product of digits (3456) is a multiple of the sum of its prime divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366282.

It is not an unprimeable number, because it can be changed into a prime (366287) by changing a digit.

366282 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 39 ways as a sum of consecutive naturals, for example, 19269 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2³⁶⁶²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

366282 is an abundant number, since it is smaller than the sum of its proper divisors (679158).

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

366282 is a wasteful number, since it uses less digits than its factorization.

366282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

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

The square root of 366282 is about 605.2123594244. The cubic root of 366282 is about 71.5492675584.

The spelling of 366282 in words is "three hundred sixty-six thousand, two hundred eighty-two".