Search a number
-
+
8201813 is a prime number
BaseRepresentation
bin11111010010011001010101
3120102200202212
4133102121111
54044424223
6451443205
7126466664
oct37223125
916380685
108201813
1146a2164
1228b6505
131912259
141136ddb
15ac0278
hex7d2655

8201813 has 2 divisors, whose sum is σ = 8201814. Its totient is φ = 8201812.

The previous prime is 8201807. The next prime is 8201819. The reversal of 8201813 is 3181028.

It is a balanced prime because it is at equal distance from previous prime (8201807) and next prime (8201819).

It can be written as a sum of positive squares in only one way, i.e., 6061444 + 2140369 = 2462^2 + 1463^2 .

It is a cyclic number.

It is not a de Polignac number, because 8201813 - 24 = 8201797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8201819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100906 + 4100907.

It is an arithmetic number, because the mean of its divisors is an integer number (4100907).

Almost surely, 28201813 is an apocalyptic number.

It is an amenable number.

8201813 is a deficient number, since it is larger than the sum of its proper divisors (1).

8201813 is an equidigital number, since it uses as much as digits as its factorization.

8201813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8201813 is about 2863.8807586909. The cubic root of 8201813 is about 201.6678280864.

The spelling of 8201813 in words is "eight million, two hundred one thousand, eight hundred thirteen".