800057 has 2 divisors, whose sum is σ = 800058. Its totient is φ = 800056.

The previous prime is 800053. The next prime is 800077. The reversal of 800057 is 750008.

800057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (800077) can be obtained adding 800057 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 609961 + 190096 = 781^2 + 436^2 .

It is a cyclic number.

It is not a de Polignac number, because 800057 - 2² = 800053 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400028 + 400029.

It is an arithmetic number, because the mean of its divisors is an integer number (400029).

2⁸⁰⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

800057 is a deficient number, since it is larger than the sum of its proper divisors (1).

800057 is an equidigital number, since it uses as much as digits as its factorization.

800057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 800057 is about 894.4590544010. The cubic root of 800057 is about 92.8339813746.

The spelling of 800057 in words is "eight hundred thousand, fifty-seven".