805376961 has 18 divisors (see below), whose sum is σ = 1182754950. Its totient is φ = 528094080.

The previous prime is 805376851. The next prime is 805376983. The reversal of 805376961 is 169673508.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36978561 + 768398400 = 6081^2 + 27720^2 .

It is not a de Polignac number, because 805376961 - 2⁷ = 805376833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (805376461) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21465 + ... + 45513.

Almost surely, 2^805376961 is an apocalyptic number.

It is an amenable number.

805376961 is a deficient number, since it is larger than the sum of its proper divisors (377377989).

805376961 is a wasteful number, since it uses less digits than its factorization.

805376961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24177 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 805376961 is about 28379.1642054519. The cubic root of 805376961 is about 930.3929279626.

The spelling of 805376961 in words is "eight hundred five million, three hundred seventy-six thousand, nine hundred sixty-one".