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286381 is a prime number
BaseRepresentation
bin1000101111010101101
3112112211201
41011322231
533131011
610045501
72301634
oct1057255
9475751
10286381
11186187
12119891
13a0474
147651b
1559cc1
hex45ead

286381 has 2 divisors, whose sum is σ = 286382. Its totient is φ = 286380.

The previous prime is 286369. The next prime is 286393. The reversal of 286381 is 183682.

It is a balanced prime because it is at equal distance from previous prime (286369) and next prime (286393).

It can be written as a sum of positive squares in only one way, i.e., 285156 + 1225 = 534^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 286381 - 215 = 253613 is a prime.

It is a super-3 number, since 3×2863813 = 70461820294333023, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286301) 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, 143190 + 143191.

It is an arithmetic number, because the mean of its divisors is an integer number (143191).

2286381 is an apocalyptic number.

It is an amenable number.

286381 is a deficient number, since it is larger than the sum of its proper divisors (1).

286381 is an equidigital number, since it uses as much as digits as its factorization.

286381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 286381 is about 535.1457745325. The cubic root of 286381 is about 65.9145665324.

The spelling of 286381 in words is "two hundred eighty-six thousand, three hundred eighty-one".