Search a number
-
+
81414329 is a prime number
BaseRepresentation
bin1001101101001…
…00100010111001
312200012021110112
410312210202321
5131320224304
612024554105
72006003363
oct466444271
9180167415
1081414329
1141a57877
1223322935
1313b37079
14ab53d33
157232b6e
hex4da48b9

81414329 has 2 divisors, whose sum is σ = 81414330. Its totient is φ = 81414328.

The previous prime is 81414317. The next prime is 81414341. The reversal of 81414329 is 92341418.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (81414317) and next prime (81414341).

It can be written as a sum of positive squares in only one way, i.e., 49378729 + 32035600 = 7027^2 + 5660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-81414329 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 81414295 and 81414304.

It is not a weakly prime, because it can be changed into another prime (81414349) 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, 40707164 + 40707165.

It is an arithmetic number, because the mean of its divisors is an integer number (40707165).

Almost surely, 281414329 is an apocalyptic number.

It is an amenable number.

81414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

81414329 is an equidigital number, since it uses as much as digits as its factorization.

81414329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 81414329 is about 9022.9889172048. The cubic root of 81414329 is about 433.4113523560.

The spelling of 81414329 in words is "eighty-one million, four hundred fourteen thousand, three hundred twenty-nine".