806001 has 12 divisors (see below), whose sum is σ = 1250352. Its totient is φ = 460488.

The previous prime is 805991. The next prime is 806009. The reversal of 806001 is 100608.

It is not a de Polignac number, because 806001 - 2⁷ = 805873 is a prime.

It is a super-2 number, since 2×806001² = 1299275224002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2595 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (104196).

2⁸⁰⁶⁰⁰¹ is an apocalyptic number.

It is an amenable number.

806001 is a deficient number, since it is larger than the sum of its proper divisors (444351).

806001 is a wasteful number, since it uses less digits than its factorization.

806001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 806001 is about 897.7755844308. The cubic root of 806001 is about 93.0633168085.

Adding to 806001 its reverse (100608), we get a palindrome (906609).

It can be divided in two parts, 80600 and 1, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 806001 in words is "eight hundred six thousand, one".