45666 has 24 divisors (see below), whose sum is σ = 102960. Its totient is φ = 14616.

The previous prime is 45659. The next prime is 45667. The reversal of 45666 is 66654.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (45667) by changing a digit.

45666 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 11 ways as a sum of consecutive naturals, for example, 745 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2⁴⁵⁶⁶⁶ is an apocalyptic number.

45666 is an abundant number, since it is smaller than the sum of its proper divisors (57294).

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 (51480).

45666 is a wasteful number, since it uses less digits than its factorization.

45666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 45666 is about 213.6960458221. The cubic root of 45666 is about 35.7435478274.

The spelling of 45666 in words is "forty-five thousand, six hundred sixty-six".