800953 has 2 divisors, whose sum is σ = 800954. Its totient is φ = 800952.

The previous prime is 800923. The next prime is 800959. The reversal of 800953 is 359008.

800953 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 can be written as a sum of positive squares in only one way, i.e., 426409 + 374544 = 653^2 + 612^2 .

It is a cyclic number.

It is not a de Polignac number, because 800953 - 2⁹ = 800441 is a prime.

800953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (800959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400476 + 400477.

It is an arithmetic number, because the mean of its divisors is an integer number (400477).

2⁸⁰⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

800953 is a deficient number, since it is larger than the sum of its proper divisors (1).

800953 is an equidigital number, since it uses as much as digits as its factorization.

800953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 800953 is about 894.9597756324. The cubic root of 800953 is about 92.8686239960.

The spelling of 800953 in words is "eight hundred thousand, nine hundred fifty-three".