10267 has 2 divisors, whose sum is σ = 10268. Its totient is φ = 10266.

The previous prime is 10259. The next prime is 10271. The reversal of 10267 is 76201.

10267 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10267 - 2³ = 10259 is a prime.

It is a super-4 number, since 4×10267⁴ = 44446159394566084, which contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 10267.

It is not a weakly prime, because it can be changed into another prime (10247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133 + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (5134).

10267 is the 59-th hex number.

10267 is a deficient number, since it is larger than the sum of its proper divisors (1).

10267 is an equidigital number, since it uses as much as digits as its factorization.

10267 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10267 is about 101.3262058897. The cubic root of 10267 is about 21.7344099316.

Adding to 10267 its reverse (76201), we get a palindrome (86468).

It can be divided in two parts, 102 and 67, that added together give a square (169 = 13²).

The spelling of 10267 in words is "ten thousand, two hundred sixty-seven".