280761 has 16 divisors (see below), whose sum is σ = 422016. Its totient is φ = 164736.

The previous prime is 280759. The next prime is 280769. The reversal of 280761 is 167082.

It is not a de Polignac number, because 280761 - 2¹ = 280759 is a prime.

280761 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280761.

It is not an unprimeable number, because it can be changed into a prime (280769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2²⁸⁰⁷⁶¹ is an apocalyptic number.

It is an amenable number.

280761 is a deficient number, since it is larger than the sum of its proper divisors (141255).

280761 is a wasteful number, since it uses less digits than its factorization.

280761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 280761 is about 529.8688516982. The cubic root of 280761 is about 65.4805411964.

The spelling of 280761 in words is "two hundred eighty thousand, seven hundred sixty-one".