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36065201 is a prime number
BaseRepresentation
bin1000100110010…
…0111110110001
32111212022011012
42021210332301
533213041301
63325000305
7615356234
oct211447661
974768135
1036065201
11193a3357
12100b3095
137619873
144b0b41b
153275ebb
hex2264fb1

36065201 has 2 divisors, whose sum is σ = 36065202. Its totient is φ = 36065200.

The previous prime is 36065189. The next prime is 36065209. The reversal of 36065201 is 10256063.

36065201 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., 33918976 + 2146225 = 5824^2 + 1465^2 .

It is a cyclic number.

It is not a de Polignac number, because 36065201 - 218 = 35803057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36065209) 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, 18032600 + 18032601.

It is an arithmetic number, because the mean of its divisors is an integer number (18032601).

Almost surely, 236065201 is an apocalyptic number.

It is an amenable number.

36065201 is a deficient number, since it is larger than the sum of its proper divisors (1).

36065201 is an equidigital number, since it uses as much as digits as its factorization.

36065201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36065201 is about 6005.4309587239. The cubic root of 36065201 is about 330.3919462936.

The spelling of 36065201 in words is "thirty-six million, sixty-five thousand, two hundred one".