286561 has 8 divisors (see below), whose sum is σ = 316800. Its totient is φ = 257040.

The previous prime is 286553. The next prime is 286589. The reversal of 286561 is 165682.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 286561 - 2³ = 286553 is a prime.

286561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (286541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2²⁸⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

286561 is a deficient number, since it is larger than the sum of its proper divisors (30239).

286561 is a wasteful number, since it uses less digits than its factorization.

286561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 2880, while the sum is 28.

The square root of 286561 is about 535.3139265889. The cubic root of 286561 is about 65.9283734739.

It can be divided in two parts, 2865 and 61, that added together give a triangular number (2926 = T₇₆).

The spelling of 286561 in words is "two hundred eighty-six thousand, five hundred sixty-one".