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165983 is a prime number
BaseRepresentation
bin101000100001011111
322102200112
4220201133
520302413
63320235
71260626
oct504137
9272615
10165983
11103784
128007b
135a71c
14446bd
15342a8
hex2885f

165983 has 2 divisors, whose sum is σ = 165984. Its totient is φ = 165982.

The previous prime is 165961. The next prime is 166013. The reversal of 165983 is 389561.

165983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (389561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165983 - 216 = 100447 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82991 + 82992.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

2165983 is an apocalyptic number.

165983 is a deficient number, since it is larger than the sum of its proper divisors (1).

165983 is an equidigital number, since it uses as much as digits as its factorization.

165983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 32.

The square root of 165983 is about 407.4101127856. The cubic root of 165983 is about 54.9567704385.

It can be divided in two parts, 16598 and 3, that multiplied together give a palindrome (49794).

The spelling of 165983 in words is "one hundred sixty-five thousand, nine hundred eighty-three".