280084 has 18 divisors (see below), whose sum is σ = 570570. Its totient is φ = 119952.

The previous prime is 280069. The next prime is 280097. The reversal of 280084 is 480082.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 103684 = 420^2 + 322^2 .

280084 is a modest number, since divided by 84 gives 28 as remainder.

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 519 + ... + 910.

2²⁸⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

280084 is an abundant number, since it is smaller than the sum of its proper divisors (290486).

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

280084 is a wasteful number, since it uses less digits than its factorization.

280084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 280084 is about 529.2296288002. The cubic root of 280084 is about 65.4278676823.

The spelling of 280084 in words is "two hundred eighty thousand, eighty-four".