Search a number
-
+
83381797 is a prime number
BaseRepresentation
bin1001111100001…
…00111000100101
312210220020022201
410332010320211
5132321204142
612135054501
72031506422
oct476047045
9183806281
1083381797
1143080a84
1223b11431
1314375755
14b106d49
1574c0ab7
hex4f84e25

83381797 has 2 divisors, whose sum is σ = 83381798. Its totient is φ = 83381796.

The previous prime is 83381759. The next prime is 83381801. The reversal of 83381797 is 79718338.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80174116 + 3207681 = 8954^2 + 1791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83381797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83381737) 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, 41690898 + 41690899.

It is an arithmetic number, because the mean of its divisors is an integer number (41690899).

Almost surely, 283381797 is an apocalyptic number.

It is an amenable number.

83381797 is a deficient number, since it is larger than the sum of its proper divisors (1).

83381797 is an equidigital number, since it uses as much as digits as its factorization.

83381797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 46.

The square root of 83381797 is about 9131.3633702750. The cubic root of 83381797 is about 436.8748897839.

The spelling of 83381797 in words is "eighty-three million, three hundred eighty-one thousand, seven hundred ninety-seven".