Search a number
-
+
36109 is a prime number
BaseRepresentation
bin1000110100001101
31211112101
420310031
52123414
6435101
7210163
oct106415
954471
1036109
1125147
1218a91
1313588
14d233
15aa74
hex8d0d

36109 has 2 divisors, whose sum is σ = 36110. Its totient is φ = 36108.

The previous prime is 36107. The next prime is 36131. The reversal of 36109 is 90163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 9 = 190^2 + 3^2 .

It is an emirp because it is prime and its reverse (90163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36109 - 21 = 36107 is a prime.

Together with 36107, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18054 + 18055.

It is an arithmetic number, because the mean of its divisors is an integer number (18055).

236109 is an apocalyptic number.

It is an amenable number.

36109 is a deficient number, since it is larger than the sum of its proper divisors (1).

36109 is an equidigital number, since it uses as much as digits as its factorization.

36109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 36109 is about 190.0236827345. The cubic root of 36109 is about 33.0525639183.

The spelling of 36109 in words is "thirty-six thousand, one hundred nine".