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800113 is a prime number
BaseRepresentation
bin11000011010101110001
31111122112211
43003111301
5201100423
625052121
76541456
oct3032561
91448484
10800113
114a7156
12327041
13220252
1416b82d
1510c10d
hexc3571

800113 has 2 divisors, whose sum is σ = 800114. Its totient is φ = 800112.

The previous prime is 800089. The next prime is 800117. The reversal of 800113 is 311008.

800113 = 6322 + 6332.

800113 is nontrivially palindromic in base 7.

800113 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., 400689 + 399424 = 633^2 + 632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-800113 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 800093 and 800102.

It is not a weakly prime, because it can be changed into another prime (800117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400056 + 400057.

It is an arithmetic number, because the mean of its divisors is an integer number (400057).

2800113 is an apocalyptic number.

800113 is the 633-rd centered square number.

It is an amenable number.

800113 is a deficient number, since it is larger than the sum of its proper divisors (1).

800113 is an equidigital number, since it uses as much as digits as its factorization.

800113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 800113 is about 894.4903576898. The cubic root of 800113 is about 92.8361472960.

The spelling of 800113 in words is "eight hundred thousand, one hundred thirteen".