Search a number
-
+
36162701 is a prime number
BaseRepresentation
bin1000100111110…
…0110010001101
32112001020220022
42021330302031
533224201301
63331031525
7616243421
oct211746215
975036808
1036162701
111945a633
121013b5a5
137652063
144b34b81
153294d1b
hex227cc8d

36162701 has 2 divisors, whose sum is σ = 36162702. Its totient is φ = 36162700.

The previous prime is 36162677. The next prime is 36162703. The reversal of 36162701 is 10726163.

36162701 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., 25755625 + 10407076 = 5075^2 + 3226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36162701 is a prime.

Together with 36162703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36162703) 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, 18081350 + 18081351.

It is an arithmetic number, because the mean of its divisors is an integer number (18081351).

Almost surely, 236162701 is an apocalyptic number.

It is an amenable number.

36162701 is a deficient number, since it is larger than the sum of its proper divisors (1).

36162701 is an equidigital number, since it uses as much as digits as its factorization.

36162701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 36162701 is about 6013.5431319647. The cubic root of 36162701 is about 330.6894096709.

Adding to 36162701 its reverse (10726163), we get a palindrome (46888864).

It can be divided in two parts, 36162 and 701, that added together give a palindrome (36863).

The spelling of 36162701 in words is "thirty-six million, one hundred sixty-two thousand, seven hundred one".