806401 has 4 divisors (see below), whose sum is σ = 808704. Its totient is φ = 804100.

The previous prime is 806389. The next prime is 806447. The reversal of 806401 is 104608.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 806401 - 2⁵ = 806369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806801) 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 3 ways as a sum of consecutive naturals, for example, 505 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (202176).

2⁸⁰⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

806401 is a deficient number, since it is larger than the sum of its proper divisors (2303).

806401 is a wasteful number, since it uses less digits than its factorization.

806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302.

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

The square root of 806401 is about 897.9983296198. The cubic root of 806401 is about 93.0787093330.

The spelling of 806401 in words is "eight hundred six thousand, four hundred one".