Search a number
-
+
36107 is a prime number
BaseRepresentation
bin1000110100001011
31211112022
420310023
52123412
6435055
7210161
oct106413
954468
1036107
1125145
1218a8b
1313586
14d231
15aa72
hex8d0b

36107 has 2 divisors, whose sum is σ = 36108. Its totient is φ = 36106.

The previous prime is 36097. The next prime is 36109. The reversal of 36107 is 70163.

It is a strong prime.

It is an emirp because it is prime and its reverse (70163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36107 - 28 = 35851 is a prime.

Together with 36109, 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 nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (36109) 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, 18053 + 18054.

It is an arithmetic number, because the mean of its divisors is an integer number (18054).

236107 is an apocalyptic number.

36107 is a deficient number, since it is larger than the sum of its proper divisors (1).

36107 is an equidigital number, since it uses as much as digits as its factorization.

36107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 36107 is about 190.0184201597. The cubic root of 36107 is about 33.0519536702.

The spelling of 36107 in words is "thirty-six thousand, one hundred seven".