805401 has 12 divisors (see below), whose sum is σ = 1175460. Its totient is φ = 531360.

The previous prime is 805397. The next prime is 805403. The reversal of 805401 is 104508.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 416025 = 624^2 + 645^2 .

It is not a de Polignac number, because 805401 - 2² = 805397 is a prime.

805401 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 805401.

It is not an unprimeable number, because it can be changed into a prime (805403) 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, 571 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (97955).

2⁸⁰⁵⁴⁰¹ is an apocalyptic number.

It is an amenable number.

805401 is a deficient number, since it is larger than the sum of its proper divisors (370059).

805401 is a wasteful number, since it uses less digits than its factorization.

805401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 805401 is about 897.4413629870. The cubic root of 805401 is about 93.0402184702.

Adding to 805401 its reverse (104508), we get a palindrome (909909).

The spelling of 805401 in words is "eight hundred five thousand, four hundred one".