5966 has 8 divisors (see below), whose sum is σ = 9480. Its totient is φ = 2808.

The previous prime is 5953. The next prime is 5981. The reversal of 5966 is 6695.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5966.

It is an unprimeable number.

5966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (1185).

5966 is a deficient number, since it is larger than the sum of its proper divisors (3514).

5966 is a wasteful number, since it uses less digits than its factorization.

5966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its digits is 1620, while the sum is 26.

The square root of 5966 is about 77.2398860693. The cubic root of 5966 is about 18.1368175014.

Subtracting 5966 from its reverse (6695), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 59 and 66, that added together give a cube (125 = 5³).

The spelling of 5966 in words is "five thousand, nine hundred sixty-six".