800961 has 16 divisors (see below), whose sum is σ = 1250304. Its totient is φ = 446544.

The previous prime is 800959. The next prime is 800971. The reversal of 800961 is 169008.

It is not a de Polignac number, because 800961 - 2¹ = 800959 is a prime.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800961.

It is not an unprimeable number, because it can be changed into a prime (800971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (78144).

2⁸⁰⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

800961 is a deficient number, since it is larger than the sum of its proper divisors (449343).

800961 is a wasteful number, since it uses less digits than its factorization.

800961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 800961 is about 894.9642450959. The cubic root of 800961 is about 92.8689331887.

Adding to 800961 its reverse (169008), we get a palindrome (969969).

The spelling of 800961 in words is "eight hundred thousand, nine hundred sixty-one".