5967 has 16 divisors (see below), whose sum is σ = 10080. Its totient is φ = 3456.

The previous prime is 5953. The next prime is 5981. The reversal of 5967 is 7695.

5967 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (5953) and next prime (5981).

It is not a de Polignac number, because 5967 - 2⁶ = 5903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

5967 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁵⁹⁶⁷ is an apocalyptic number.

5967 is the 39-th decagonal number.

5967 is a deficient number, since it is larger than the sum of its proper divisors (4113).

5967 is a wasteful number, since it uses less digits than its factorization.

5967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 5967 is about 77.2463591375. The cubic root of 5967 is about 18.1378307880.

Subtracting 5967 from its reverse (7695), we obtain a cube (1728 = 12³).

The spelling of 5967 in words is "five thousand, nine hundred sixty-seven".