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36083 is a prime number
BaseRepresentation
bin1000110011110011
31211111102
420303303
52123313
6435015
7210125
oct106363
954442
1036083
1125123
1218a6b
1313568
14d215
15aa58
hex8cf3

36083 has 2 divisors, whose sum is σ = 36084. Its totient is φ = 36082.

The previous prime is 36073. The next prime is 36097. The reversal of 36083 is 38063.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 36083 - 24 = 36067 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (36013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18041 + 18042.

It is an arithmetic number, because the mean of its divisors is an integer number (18042).

236083 is an apocalyptic number.

36083 is a deficient number, since it is larger than the sum of its proper divisors (1).

36083 is an equidigital number, since it uses as much as digits as its factorization.

36083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36083 is about 189.9552578899. The cubic root of 36083 is about 33.0446289344.

Subtracting from 36083 its sum of digits (20), we obtain a palindrome (36063).

The spelling of 36083 in words is "thirty-six thousand, eighty-three".