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36097 is a prime number
BaseRepresentation
bin1000110100000001
31211111221
420310001
52123342
6435041
7210145
oct106401
954457
1036097
1125136
1218a81
1313579
14d225
15aa67
hex8d01

36097 has 2 divisors, whose sum is σ = 36098. Its totient is φ = 36096.

The previous prime is 36083. The next prime is 36107. The reversal of 36097 is 79063.

36097 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 10816 = 159^2 + 104^2 .

It is an emirp because it is prime and its reverse (79063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36097 - 27 = 35969 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (36007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18048 + 18049.

It is an arithmetic number, because the mean of its divisors is an integer number (18049).

It is a Proth number, since it is equal to 141 ⋅ 28 + 1 and 141 < 28.

236097 is an apocalyptic number.

It is an amenable number.

36097 is a deficient number, since it is larger than the sum of its proper divisors (1).

36097 is an equidigital number, since it uses as much as digits as its factorization.

36097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 36097 is about 189.9921050991. The cubic root of 36097 is about 33.0489020915.

The spelling of 36097 in words is "thirty-six thousand, ninety-seven".