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10667 is a prime number
BaseRepresentation
bin10100110101011
3112122002
42212223
5320132
6121215
743046
oct24653
915562
1010667
118018
12620b
134b17
143c5d
153262
hex29ab

10667 has 2 divisors, whose sum is σ = 10668. Its totient is φ = 10666.

The previous prime is 10663. The next prime is 10687. The reversal of 10667 is 76601.

It is an a-pointer prime, because the next prime (10687) can be obtained adding 10667 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10667 - 22 = 10663 is a prime.

It is a super-2 number, since 2×106672 = 227569778, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (10663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5333 + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

210667 is an apocalyptic number.

10667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10667 is an equidigital number, since it uses as much as digits as its factorization.

10667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10667 is about 103.2811696293. The cubic root of 10667 is about 22.0130776241.

It can be divided in two parts, 10 and 667, that multiplied together give a triangular number (6670 = T115).

The spelling of 10667 in words is "ten thousand, six hundred sixty-seven".