282168 has 24 divisors (see below), whose sum is σ = 764400. Its totient is φ = 94032.

The previous prime is 282167. The next prime is 282221. The reversal of 282168 is 861282.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282168.

It is not an unprimeable number, because it can be changed into a prime (282167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2²⁸²¹⁶⁸ is an apocalyptic number.

It is an amenable number.

282168 is an abundant number, since it is smaller than the sum of its proper divisors (482232).

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

282168 is a wasteful number, since it uses less digits than its factorization.

282168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3924 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 282168 is about 531.1948794934. The cubic root of 282168 is about 65.5897416043.

It can be divided in two parts, 28216 and 8, that added together give a square (28224 = 168²).

The spelling of 282168 in words is "two hundred eighty-two thousand, one hundred sixty-eight".