Search a number
-
+
36336857 is a prime number
BaseRepresentation
bin1000101010011…
…1010011011001
32112101002210112
42022213103121
533300234412
63334454105
7620600234
oct212472331
975332715
1036336857
1119569467
1210204335
1376b33cb
144b7c41b
1532cb722
hex22a74d9

36336857 has 2 divisors, whose sum is σ = 36336858. Its totient is φ = 36336856.

The previous prime is 36336829. The next prime is 36336863. The reversal of 36336857 is 75863363.

36336857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28558336 + 7778521 = 5344^2 + 2789^2 .

It is a cyclic number.

It is not a de Polignac number, because 36336857 - 26 = 36336793 is a prime.

It is not a weakly prime, because it can be changed into another prime (36336887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18168428 + 18168429.

It is an arithmetic number, because the mean of its divisors is an integer number (18168429).

Almost surely, 236336857 is an apocalyptic number.

It is an amenable number.

36336857 is a deficient number, since it is larger than the sum of its proper divisors (1).

36336857 is an equidigital number, since it uses as much as digits as its factorization.

36336857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 41.

The square root of 36336857 is about 6028.0060550733. The cubic root of 36336857 is about 331.2194156170.

The spelling of 36336857 in words is "thirty-six million, three hundred thirty-six thousand, eight hundred fifty-seven".