1667 has 2 divisors, whose sum is σ = 1668. Its totient is φ = 1666.

The previous prime is 1663. The next prime is 1669. The reversal of 1667 is 7661.

1667 is nontrivially palindromic in base 3, base 5 and base 12.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1667 - 2² = 1663 is a prime.

Together with 1669, it forms a pair of twin primes.

It is a Chen prime.

1667 is an undulating number in base 12.

It is a plaindrome in base 10.

It is a nialpdrome in base 14 and base 15.

It is not a weakly prime, because it can be changed into another prime (1663) 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 as a sum of consecutive naturals, namely, 833 + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (834).

2¹⁶⁶⁷ is an apocalyptic number.

1667 is a deficient number, since it is larger than the sum of its proper divisors (1).

1667 is an equidigital number, since it uses as much as digits as its factorization.

1667 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1667 is about 40.8289113252. The cubic root of 1667 is about 11.8571013830.

The spelling of 1667 in words is "one thousand, six hundred sixty-seven".