282972 has 12 divisors (see below), whose sum is σ = 660296. Its totient is φ = 94320.

The previous prime is 282959. The next prime is 282973. The reversal of 282972 is 279282.

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

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 3 ways as a sum of consecutive naturals, for example, 11779 + ... + 11802.

2²⁸²⁹⁷² is an apocalyptic number.

It is an amenable number.

282972 is an abundant number, since it is smaller than the sum of its proper divisors (377324).

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

282972 is a wasteful number, since it uses less digits than its factorization.

282972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23586 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 282972 is about 531.9511255745. The cubic root of 282972 is about 65.6519789299.

The spelling of 282972 in words is "two hundred eighty-two thousand, nine hundred seventy-two".