800921 has 8 divisors (see below), whose sum is σ = 925344. Its totient is φ = 685120.

The previous prime is 800909. The next prime is 800923. The reversal of 800921 is 129008.

800921 = 76² + 77² + ... + 141².

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

It is a cyclic number.

It is not a de Polignac number, because 800921 - 2¹⁸ = 538777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 800893 and 800902.

It is not an unprimeable number, because it can be changed into a prime (800923) 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, 1955 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

2⁸⁰⁰⁹²¹ is an apocalyptic number.

It is an amenable number.

800921 is a deficient number, since it is larger than the sum of its proper divisors (124423).

800921 is a wasteful number, since it uses less digits than its factorization.

800921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 800921 is about 894.9418975554. The cubic root of 800921 is about 92.8673872045.

Adding to 800921 its reverse (129008), we get a palindrome (929929).

The spelling of 800921 in words is "eight hundred thousand, nine hundred twenty-one".