3966661 has 8 divisors (see below), whose sum is σ = 4218264. Its totient is φ = 3717120.

The previous prime is 3966631. The next prime is 3966689. The reversal of 3966661 is 1666693.

3966661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 2512225 = 1206^2 + 1585^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3966661 - 2¹¹ = 3964613 is a prime.

It is a super-3 number, since 3×3966661³ (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

3966661 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3966661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5671 + ... + 6331.

It is an arithmetic number, because the mean of its divisors is an integer number (527283).

Almost surely, 2^3966661 is an apocalyptic number.

It is an amenable number.

3966661 is a deficient number, since it is larger than the sum of its proper divisors (251603).

3966661 is a wasteful number, since it uses less digits than its factorization.

3966661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its digits is 34992, while the sum is 37.

The square root of 3966661 is about 1991.6478102315. The cubic root of 3966661 is about 158.2978545314.

Subtracting from 3966661 its reverse (1666693), we obtain a cube (2299968 = 132³).

The spelling of 3966661 in words is "three million, nine hundred sixty-six thousand, six hundred sixty-one".