286461 has 12 divisors (see below), whose sum is σ = 472992. Its totient is φ = 163656.

The previous prime is 286459. The next prime is 286469. The reversal of 286461 is 164682.

It is not a de Polignac number, because 286461 - 2¹ = 286459 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286461.

It is not an unprimeable number, because it can be changed into a prime (286469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (39416).

2²⁸⁶⁴⁶¹ is an apocalyptic number.

286461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

286461 is a deficient number, since it is larger than the sum of its proper divisors (186531).

286461 is a wasteful number, since it uses less digits than its factorization.

286461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4557 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 286461 is about 535.2205153019. The cubic root of 286461 is about 65.9207036649.

It can be divided in two parts, 286 and 461, that added together give a palindrome (747).

The spelling of 286461 in words is "two hundred eighty-six thousand, four hundred sixty-one".