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36017 is a prime number
BaseRepresentation
bin1000110010110001
31211101222
420302301
52123032
6434425
7210002
oct106261
954358
1036017
1125073
1218a15
1313517
14d1a9
15aa12
hex8cb1

36017 has 2 divisors, whose sum is σ = 36018. Its totient is φ = 36016.

The previous prime is 36013. The next prime is 36037. The reversal of 36017 is 71063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 5041 = 176^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 36017 - 22 = 36013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 35986 and 36004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36017.

It is not a weakly prime, because it can be changed into another prime (36011) 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, 18008 + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (18009).

236017 is an apocalyptic number.

It is an amenable number.

36017 is a deficient number, since it is larger than the sum of its proper divisors (1).

36017 is an equidigital number, since it uses as much as digits as its factorization.

36017 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 36017 is about 189.7814532561. The cubic root of 36017 is about 33.0244691491.

The spelling of 36017 in words is "thirty-six thousand, seventeen".