55966 has 4 divisors (see below), whose sum is σ = 83952. Its totient is φ = 27982.

The previous prime is 55949. The next prime is 55967. The reversal of 55966 is 66955.

It is a happy number.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13990 + ... + 13993.

It is an arithmetic number, because the mean of its divisors is an integer number (20988).

2⁵⁵⁹⁶⁶ is an apocalyptic number.

55966 is a deficient number, since it is larger than the sum of its proper divisors (27986).

55966 is a wasteful number, since it uses less digits than its factorization.

55966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27985.

The product of its digits is 8100, while the sum is 31.

The square root of 55966 is about 236.5713423050. The cubic root of 55966 is about 38.2508792712.

It can be divided in two parts, 559 and 66, that added together give a 4-th power (625 = 5⁴).

The spelling of 55966 in words is "fifty-five thousand, nine hundred sixty-six".