56066 has 12 divisors (see below), whose sum is σ = 90258. Its totient is φ = 26112.

The previous prime is 56053. The next prime is 56081. The reversal of 56066 is 66065.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 55225 + 841 = 235^2 + 29^2 .

It is a congruent number.

It is an unprimeable number.

56066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530 + ... + 626.

2⁵⁶⁰⁶⁶ is an apocalyptic number.

56066 is a deficient number, since it is larger than the sum of its proper divisors (34192).

56066 is a wasteful number, since it uses less digits than its factorization.

56066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 56066 is about 236.7826007121. The cubic root of 56066 is about 38.2736479282.

Subtracting 56066 from its reverse (66065), we obtain a palindrome (9999).

It can be divided in two parts, 560 and 66, that added together give a palindrome (626).

The spelling of 56066 in words is "fifty-six thousand, sixty-six", and thus it is an eban number.