800053 has 2 divisors, whose sum is σ = 800054. Its totient is φ = 800052.

The previous prime is 800029. The next prime is 800057. The reversal of 800053 is 350008.

800053 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., 552049 + 248004 = 743^2 + 498^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-800053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400026 + 400027.

It is an arithmetic number, because the mean of its divisors is an integer number (400027).

2⁸⁰⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

800053 is a deficient number, since it is larger than the sum of its proper divisors (1).

800053 is an equidigital number, since it uses as much as digits as its factorization.

800053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 800053 is about 894.4568184099. The cubic root of 800053 is about 92.8338266621.

It can be divided in two parts, 80005 and 3, that added together give a palindrome (80008).

The spelling of 800053 in words is "eight hundred thousand, fifty-three".