286541 has 2 divisors, whose sum is σ = 286542. Its totient is φ = 286540.

The previous prime is 286519. The next prime is 286543. The reversal of 286541 is 145682.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265225 + 21316 = 515^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 286541 - 2⁶ = 286477 is a prime.

Together with 286543, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 286541.

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 286541.

It is not a weakly prime, because it can be changed into another prime (286543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143270 + 143271.

It is an arithmetic number, because the mean of its divisors is an integer number (143271).

2²⁸⁶⁵⁴¹ is an apocalyptic number.

It is an amenable number.

286541 is a deficient number, since it is larger than the sum of its proper divisors (1).

286541 is an equidigital number, since it uses as much as digits as its factorization.

286541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 26.

The square root of 286541 is about 535.2952456355. The cubic root of 286541 is about 65.9268396548.

The spelling of 286541 in words is "two hundred eighty-six thousand, five hundred forty-one".