113166 has 12 divisors (see below), whose sum is σ = 245232. Its totient is φ = 37716.

The previous prime is 113161. The next prime is 113167. The reversal of 113166 is 661311.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6287 = 113166 / (1 + 1 + 3 + 1 + 6 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3126 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (20436).

2¹¹³¹⁶⁶ is an apocalyptic number.

113166 is an abundant number, since it is smaller than the sum of its proper divisors (132066).

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

113166 is a wasteful number, since it uses less digits than its factorization.

113166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6292 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 113166 is about 336.4015457753. The cubic root of 113166 is about 48.3695434825.

Adding to 113166 its reverse (661311), we get a palindrome (774477).

It can be divided in two parts, 11316 and 6, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 113166 in words is "one hundred thirteen thousand, one hundred sixty-six".