36137 has 2 divisors, whose sum is σ = 36138. Its totient is φ = 36136.
The previous prime is 36131. The next prime is 36151. The reversal of 36137 is 73163.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 32041 + 4096 = 179^2 + 64^2 .
It is a cyclic number.
It is not a de Polignac number, because 36137 - 26 = 36073 is a prime.
It is a Chen prime.
It is an Ulam number.
It is a plaindrome in base 13.
It is a nialpdrome in base 15.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36137.
It is not a weakly prime, because it can be changed into another prime (36131) 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, 18068 + 18069.
It is an arithmetic number, because the mean of its divisors is an integer number (18069).
236137 is an apocalyptic number.
It is an amenable number.
36137 is a deficient number, since it is larger than the sum of its proper divisors (1).
36137 is an equidigital number, since it uses as much as digits as its factorization.
36137 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 378, while the sum is 20.
The square root of 36137 is about 190.0973434849. The cubic root of 36137 is about 33.0611050270.
The spelling of 36137 in words is "thirty-six thousand, one hundred thirty-seven".
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