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10067 is a prime number
BaseRepresentation
bin10011101010011
3111210212
42131103
5310232
6114335
741231
oct23523
914725
1010067
117622
1259ab
134775
143951
152eb2
hex2753

10067 has 2 divisors, whose sum is σ = 10068. Its totient is φ = 10066.

The previous prime is 10061. The next prime is 10069. The reversal of 10067 is 76001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (76001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10067 - 28 = 9811 is a prime.

Together with 10069, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (10061) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5033 + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (5034).

210067 is an apocalyptic number.

10067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067 is an equidigital number, since it uses as much as digits as its factorization.

10067 is an evil number, because the sum of its binary digits is even.

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

The square root of 10067 is about 100.3344407469. The cubic root of 10067 is about 21.5923555482.

Adding to 10067 its reverse (76001), we get a palindrome (86068).

The spelling of 10067 in words is "ten thousand, sixty-seven".