4000801 has 6 divisors (see below), whose sum is σ = 4654050. Its totient is φ = 3429216.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000801 is 1080004.

It can be written as a sum of positive squares in only one way, i.e., 3841600 + 159201 = 1960^2 + 399^2 .

It is not a de Polignac number, because 4000801 - 2⁷ = 4000673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40776 + ... + 40873.

It is an arithmetic number, because the mean of its divisors is an integer number (775675).

Almost surely, 2^4000801 is an apocalyptic number.

It is an amenable number.

4000801 is a deficient number, since it is larger than the sum of its proper divisors (653249).

4000801 is an equidigital number, since it uses as much as digits as its factorization.

4000801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81663 (or 81656 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4000801 is about 2000.2002399760. The cubic root of 4000801 is about 158.7507003916.

Adding to 4000801 its reverse (1080004), we get a palindrome (5080805).

The spelling of 4000801 in words is "four million, eight hundred one", and thus it is an aban number.