Search a number
-
+
905080321 is a prime number
BaseRepresentation
bin110101111100100…
…110111000000001
32100002001211210101
4311330212320001
53323200032241
6225451002401
731300025065
oct6574467001
92302054711
10905080321
11424992272
12213139401
13115684bb2
14882bdaa5
15546d1e31
hex35f26e01

905080321 has 2 divisors, whose sum is σ = 905080322. Its totient is φ = 905080320.

The previous prime is 905080313. The next prime is 905080339. The reversal of 905080321 is 123080509.

905080321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857318400 + 47761921 = 29280^2 + 6911^2 .

It is a cyclic number.

It is not a de Polignac number, because 905080321 - 23 = 905080313 is a prime.

It is a super-2 number, since 2×9050803212 = 1638340774922926082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 905080321.

It is not a weakly prime, because it can be changed into another prime (905080361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452540160 + 452540161.

It is an arithmetic number, because the mean of its divisors is an integer number (452540161).

Almost surely, 2905080321 is an apocalyptic number.

It is an amenable number.

905080321 is a deficient number, since it is larger than the sum of its proper divisors (1).

905080321 is an equidigital number, since it uses as much as digits as its factorization.

905080321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 905080321 is about 30084.5528635544. The cubic root of 905080321 is about 967.3026422308.

The spelling of 905080321 in words is "nine hundred five million, eighty thousand, three hundred twenty-one".