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1067 = 1197
BaseRepresentation
bin10000101011
31110112
4100223
513232
64535
73053
oct2053
91415
101067
11890
1274b
13641
14563
154b2
hex42b

1067 has 4 divisors (see below), whose sum is σ = 1176. Its totient is φ = 960.

The previous prime is 1063. The next prime is 1069. The reversal of 1067 is 7601.

Adding to 1067 its sum of digits (14), we get a triangular number (1081 = T46).

Adding to 1067 its reverse (7601), we get a palindrome (8668).

It can be divided in two parts, 10 and 67, that added together give a palindrome (77).

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7601 = 11691.

It is a cyclic number.

It is not a de Polignac number, because 1067 - 22 = 1063 is a prime.

It is a super-2 number, since 2×10672 = 2276978, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 59.

It is an arithmetic number, because the mean of its divisors is an integer number (294).

1067 is a deficient number, since it is larger than the sum of its proper divisors (109).

1067 is an equidigital number, since it uses as much as digits as its factorization.

1067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

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

The square root of 1067 is about 32.6649659421. The cubic root of 1067 is about 10.2185233064.

The spelling of 1067 in words is "one thousand, sixty-seven".

Divisors: 1 11 97 1067