282920 has 32 divisors (see below), whose sum is σ = 695520. Its totient is φ = 102720.

The previous prime is 282917. The next prime is 282959. The reversal of 282920 is 29282.

282920 = T₁₈₀ + T₁₈₁ + ... + T₁₉₅.

It is an Ulam number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2²⁸²⁹²⁰ is an apocalyptic number.

282920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

282920 is an abundant number, since it is smaller than the sum of its proper divisors (412600).

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

282920 is a wasteful number, since it uses less digits than its factorization.

282920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 282920 is about 531.9022466582. The cubic root of 282920 is about 65.6479571986.

The spelling of 282920 in words is "two hundred eighty-two thousand, nine hundred twenty".