282975 has 48 divisors (see below), whose sum is σ = 595200. Its totient is φ = 117600.

The previous prime is 282973. The next prime is 282977. The reversal of 282975 is 579282.

It is an interprime number because it is at equal distance from previous prime (282973) and next prime (282977).

It is not a de Polignac number, because 282975 - 2¹ = 282973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (10080) is a multiple of the sum of its prime factors (45).

282975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25720 + ... + 25730.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2²⁸²⁹⁷⁵ is an apocalyptic number.

282975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

282975 is an abundant number, since it is smaller than the sum of its proper divisors (312225).

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

282975 is a wasteful number, since it uses less digits than its factorization.

282975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 26 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 282975 is about 531.9539453750. The cubic root of 282975 is about 65.6522109378.

It can be divided in two parts, 28 and 2975, that added together give a palindrome (3003).

The spelling of 282975 in words is "two hundred eighty-two thousand, nine hundred seventy-five".