1967 has 4 divisors (see below), whose sum is σ = 2256. Its totient is φ = 1680.

The previous prime is 1951. The next prime is 1973. The reversal of 1967 is 7691.

It is a happy number.

1967 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 1967 - 2⁴ = 1951 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 7 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (564).

1967 is a deficient number, since it is larger than the sum of its proper divisors (289).

1967 is an equidigital number, since it uses as much as digits as its factorization.

1967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 378, while the sum is 23.

The square root of 1967 is about 44.3508737231. The cubic root of 1967 is about 12.5295301825.

The spelling of 1967 in words is "one thousand, nine hundred sixty-seven".