800533 has 2 divisors, whose sum is σ = 800534. Its totient is φ = 800532.

The previous prime is 800521. The next prime is 800537. The reversal of 800533 is 335008.

800533 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., 418609 + 381924 = 647^2 + 618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-800533 is a prime.

800533 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 800533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400266 + 400267.

It is an arithmetic number, because the mean of its divisors is an integer number (400267).

2⁸⁰⁰⁵³³ is an apocalyptic number.

It is an amenable number.

800533 is a deficient number, since it is larger than the sum of its proper divisors (1).

800533 is an equidigital number, since it uses as much as digits as its factorization.

800533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 800533 is about 894.7250974461. The cubic root of 800533 is about 92.8523884858.

The spelling of 800533 in words is "eight hundred thousand, five hundred thirty-three".