6601 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 5280.

The previous prime is 6599. The next prime is 6607. The reversal of 6601 is 1066.

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

It is a 2-Lehmer number, since φ(6601) divides (6601-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6601 - 2¹ = 6599 is a prime.

It is a magnanimous number.

It is a deceptive number, since it divides R₆₆₀₀.

6601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6607) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 141 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

It is a Poulet number, since it divides 2⁶⁶⁰⁰-1.

2⁶⁶⁰¹ is an apocalyptic number.

6601 is the 41-st decagonal number.

It is an amenable number.

6601 is a deficient number, since it is larger than the sum of its proper divisors (1463).

6601 is a wasteful number, since it uses less digits than its factorization.

6601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6601 is about 81.2465383878. The cubic root of 6601 is about 18.7587218682.

Adding to 6601 its reverse (1066), we get a palindrome (7667).

The spelling of 6601 in words is "six thousand, six hundred one".