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9967 is a prime number
BaseRepresentation
bin10011011101111
3111200011
42123233
5304332
6114051
741026
oct23357
914604
109967
117541
125927
1346c9
1438bd
152e47
hex26ef

9967 has 2 divisors, whose sum is σ = 9968. Its totient is φ = 9966.

The previous prime is 9949. The next prime is 9973. The reversal of 9967 is 7699.

It is a strong prime.

9967 is a truncatable prime.

It is an emirp because it is prime and its reverse (7699) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9967 - 27 = 9839 is a prime.

It is a Chen prime.

It is a plaindrome in base 8, base 14 and base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983 + 4984.

It is an arithmetic number, because the mean of its divisors is an integer number (4984).

29967 is an apocalyptic number.

9967 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967 is an equidigital number, since it uses as much as digits as its factorization.

9967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 31.

The square root of 9967 is about 99.8348636499. The cubic root of 9967 is about 21.5206220022.

The spelling of 9967 in words is "nine thousand, nine hundred sixty-seven".