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286457 is a prime number
BaseRepresentation
bin1000101111011111001
3112112221112
41011323321
533131312
610050105
72302103
oct1057371
9475845
10286457
11186246
12119935
13a0502
1476573
1559d22
hex45ef9

286457 has 2 divisors, whose sum is σ = 286458. Its totient is φ = 286456.

The previous prime is 286453. The next prime is 286459. The reversal of 286457 is 754682.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 11881 = 524^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 286457 - 22 = 286453 is a prime.

It is a super-2 number, since 2×2864572 = 164115225698, which contains 22 as substring.

Together with 286459, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286457.

It is not a weakly prime, because it can be changed into another prime (286453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143228 + 143229.

It is an arithmetic number, because the mean of its divisors is an integer number (143229).

2286457 is an apocalyptic number.

It is an amenable number.

286457 is a deficient number, since it is larger than the sum of its proper divisors (1).

286457 is an equidigital number, since it uses as much as digits as its factorization.

286457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13440, while the sum is 32.

The square root of 286457 is about 535.2167785113. The cubic root of 286457 is about 65.9203968354.

The spelling of 286457 in words is "two hundred eighty-six thousand, four hundred fifty-seven".