59166 has 24 divisors (see below), whose sum is σ = 135720. Its totient is φ = 18576.

The previous prime is 59159. The next prime is 59167. The reversal of 59166 is 66195.

59166 is a Rhonda number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (5655).

2⁵⁹¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67860).

59166 is an abundant number, since it is smaller than the sum of its proper divisors (76554).

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

59166 is a wasteful number, since it uses less digits than its factorization.

59166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 59166 is about 243.2406216075. The cubic root of 59166 is about 38.9664405584.

It can be divided in two parts, 59 and 166, that added together give a square (225 = 15²).

The spelling of 59166 in words is "fifty-nine thousand, one hundred sixty-six".