45186 has 16 divisors (see below), whose sum is σ = 95904. Its totient is φ = 14144.

The previous prime is 45181. The next prime is 45191. The reversal of 45186 is 68154.

45186 is nontrivially palindromic in base 9.

45186 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (45181) and next prime (45191).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (45181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (5994).

2⁴⁵¹⁸⁶ is an apocalyptic number.

45186 is an abundant number, since it is smaller than the sum of its proper divisors (50718).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47952).

45186 is a wasteful number, since it uses less digits than its factorization.

45186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 960, while the sum is 24.

The square root of 45186 is about 212.5699884744. The cubic root of 45186 is about 35.6178717656.

It can be divided in two parts, 45 and 186, that added together give a triangular number (231 = T₂₁).

The spelling of 45186 in words is "forty-five thousand, one hundred eighty-six".