800967 has 8 divisors (see below), whose sum is σ = 1072624. Its totient is φ = 531648.

The previous prime is 800959. The next prime is 800971. The reversal of 800967 is 769008.

It is a happy number.

800967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 800967 - 2³ = 800959 is a prime.

It is a Duffinian number.

800967 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (134078).

2⁸⁰⁰⁹⁶⁷ is an apocalyptic number.

800967 is a deficient number, since it is larger than the sum of its proper divisors (271657).

800967 is a wasteful number, since it uses less digits than its factorization.

800967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 800967 is about 894.9675971788. The cubic root of 800967 is about 92.8691650819.

The spelling of 800967 in words is "eight hundred thousand, nine hundred sixty-seven".