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16007 is a prime number
BaseRepresentation
bin11111010000111
3210221212
43322013
51003012
6202035
764445
oct37207
923855
1016007
1111032
12931b
137394
145b95
154b22
hex3e87

16007 has 2 divisors, whose sum is σ = 16008. Its totient is φ = 16006.

The previous prime is 16001. The next prime is 16033. The reversal of 16007 is 70061.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (70061) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16007 - 24 = 15991 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 15982 and 16000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8003 + 8004.

It is an arithmetic number, because the mean of its divisors is an integer number (8004).

216007 is an apocalyptic number.

16007 is a deficient number, since it is larger than the sum of its proper divisors (1).

16007 is an equidigital number, since it uses as much as digits as its factorization.

16007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 16007 is about 126.5187733105. The cubic root of 16007 is about 25.2020952319.

Adding to 16007 its reverse (70061), we get a palindrome (86068).

The spelling of 16007 in words is "sixteen thousand, seven".