800557 has 2 divisors, whose sum is σ = 800558. Its totient is φ = 800556.

The previous prime is 800549. The next prime is 800573. The reversal of 800557 is 755008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 594441 + 206116 = 771^2 + 454^2 .

It is a cyclic number.

It is not a de Polignac number, because 800557 - 2³ = 800549 is a prime.

800557 is a lucky number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400278 + 400279.

It is an arithmetic number, because the mean of its divisors is an integer number (400279).

2⁸⁰⁰⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

800557 is a deficient number, since it is larger than the sum of its proper divisors (1).

800557 is an equidigital number, since it uses as much as digits as its factorization.

800557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 800557 is about 894.7385092864. The cubic root of 800557 is about 92.8533163822.

The spelling of 800557 in words is "eight hundred thousand, five hundred fifty-seven".