Search a number
-
+
284805361 is a prime number
BaseRepresentation
bin10000111110011…
…100100011110001
3201211220121111201
4100332130203301
51040402232421
644132211201
710025543221
oct2076344361
9654817451
10284805361
11136846535
127b469b01
134700a9a9
1429b7a081
151a00bb91
hex10f9c8f1

284805361 has 2 divisors, whose sum is σ = 284805362. Its totient is φ = 284805360.

The previous prime is 284805359. The next prime is 284805371. The reversal of 284805361 is 163508482.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284124736 + 680625 = 16856^2 + 825^2 .

It is a cyclic number.

It is not a de Polignac number, because 284805361 - 21 = 284805359 is a prime.

It is a super-2 number, since 2×2848053612 = 162228187308680642, which contains 22 as substring.

Together with 284805359, 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 284805361.

It is not a weakly prime, because it can be changed into another prime (284805341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 142402680 + 142402681.

It is an arithmetic number, because the mean of its divisors is an integer number (142402681).

Almost surely, 2284805361 is an apocalyptic number.

It is an amenable number.

284805361 is a deficient number, since it is larger than the sum of its proper divisors (1).

284805361 is an equidigital number, since it uses as much as digits as its factorization.

284805361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 284805361 is about 16876.1773218937. The cubic root of 284805361 is about 657.9345908319.

The spelling of 284805361 in words is "two hundred eighty-four million, eight hundred five thousand, three hundred sixty-one".