Search a number
-
+
36565241 is a prime number
BaseRepresentation
bin1000101101111…
…1000011111001
32112210201002012
42023133003321
533330041431
63343415305
7622541126
oct213370371
975721065
1036565241
1119705009
12102b4535
13776334b
144bdb74d
15332422b
hex22df0f9

36565241 has 2 divisors, whose sum is σ = 36565242. Its totient is φ = 36565240.

The previous prime is 36565211. The next prime is 36565273. The reversal of 36565241 is 14256563.

It is an a-pointer prime, because the next prime (36565273) can be obtained adding 36565241 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33396841 + 3168400 = 5779^2 + 1780^2 .

It is an emirp because it is prime and its reverse (14256563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36565241 - 214 = 36548857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36565198 and 36565207.

It is not a weakly prime, because it can be changed into another prime (36565211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18282620 + 18282621.

It is an arithmetic number, because the mean of its divisors is an integer number (18282621).

Almost surely, 236565241 is an apocalyptic number.

It is an amenable number.

36565241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36565241 is an equidigital number, since it uses as much as digits as its factorization.

36565241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21600, while the sum is 32.

The square root of 36565241 is about 6046.9199597812. The cubic root of 36565241 is about 331.9118923549.

The spelling of 36565241 in words is "thirty-six million, five hundred sixty-five thousand, two hundred forty-one".