4006801 has 8 divisors (see below), whose sum is σ = 4123520. Its totient is φ = 3891888.

The previous prime is 4006789. The next prime is 4006811. The reversal of 4006801 is 1086004.

4006801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4006801 - 2¹¹ = 4004753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006811) 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, 4915 + ... + 5671.

It is an arithmetic number, because the mean of its divisors is an integer number (515440).

Almost surely, 2^4006801 is an apocalyptic number.

It is an amenable number.

4006801 is a deficient number, since it is larger than the sum of its proper divisors (116719).

4006801 is an equidigital number, since it uses as much as digits as its factorization.

4006801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4006801 is about 2001.6995279012. The cubic root of 4006801 is about 158.8300202113.

The spelling of 4006801 in words is "four million, six thousand, eight hundred one".