56166 has 32 divisors (see below), whose sum is σ = 131328. Its totient is φ = 15840.

The previous prime is 56149. The next prime is 56167. The reversal of 56166 is 66165.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56167) by changing a digit.

56166 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 15 ways as a sum of consecutive naturals, for example, 1500 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁵⁶¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664).

56166 is an abundant number, since it is smaller than the sum of its proper divisors (75162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56166 is a wasteful number, since it uses less digits than its factorization.

56166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 1080, while the sum is 24.

The square root of 56166 is about 236.9936708016. The cubic root of 56166 is about 38.2963895276.

Subtracting 56166 from its reverse (66165), we obtain a palindrome (9999).

It can be divided in two parts, 56 and 166, that added together give a palindrome (222).

The spelling of 56166 in words is "fifty-six thousand, one hundred sixty-six".