805367641 has 27 divisors (see below), whose sum is σ = 911740221. Its totient is φ = 711064224.

The previous prime is 805367617. The next prime is 805367653. The reversal of 805367641 is 146763508.

It is a happy number.

The square root of 805367641 is 28379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3345241 + 802022400 = 1829^2 + 28320^2 .

It is not a de Polignac number, because 805367641 - 2²⁹ = 268496729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 805367594 and 805367603.

It is not an unprimeable number, because it can be changed into a prime (805367341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13650270 + ... + 13650328.

Almost surely, 2^805367641 is an apocalyptic number.

805367641 is the 28379-th square number.

805367641 is the 14190-th centered octagonal number.

It is an amenable number.

805367641 is a deficient number, since it is larger than the sum of its proper divisors (106372580).

805367641 is an equidigital number, since it uses as much as digits as its factorization.

805367641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 805367641 is about 930.3893390446.

The spelling of 805367641 in words is "eight hundred five million, three hundred sixty-seven thousand, six hundred forty-one".