4066 has 8 divisors (see below), whose sum is σ = 6480. Its totient is φ = 1908.

The previous prime is 4057. The next prime is 4073. The reversal of 4066 is 6604.

It is a sphenic number, since it is the product of 3 distinct primes.

4066 is a modest number, since divided by 66 gives 40 as remainder.

It is a plaindrome in base 7.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

4066 is a deficient number, since it is larger than the sum of its proper divisors (2414).

4066 is a wasteful number, since it uses less digits than its factorization.

4066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4066 is about 63.7651942677. The cubic root of 4066 is about 15.9608417426.

Multiplying 4066 by its sum of digits (16), we get a palindrome (65056).

The spelling of 4066 in words is "four thousand, sixty-six", and thus it is an eban number.