800971 has 2 divisors, whose sum is σ = 800972. Its totient is φ = 800970.

The previous prime is 800959. The next prime is 800977. The reversal of 800971 is 179008.

800971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 800971 - 2¹¹ = 798923 is a prime.

It is not a weakly prime, because it can be changed into another prime (800977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400485 + 400486.

It is an arithmetic number, because the mean of its divisors is an integer number (400486).

2⁸⁰⁰⁹⁷¹ is an apocalyptic number.

800971 is a deficient number, since it is larger than the sum of its proper divisors (1).

800971 is an equidigital number, since it uses as much as digits as its factorization.

800971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 800971 is about 894.9698318938. The cubic root of 800971 is about 92.8693196767.

Adding to 800971 its reverse (179008), we get a palindrome (979979).

It can be divided in two parts, 800 and 971, that added together give a palindrome (1771).

The spelling of 800971 in words is "eight hundred thousand, nine hundred seventy-one".