Search a number
-
+
830684461 is a prime number
BaseRepresentation
bin110001100000110…
…011110100101101
32010220002010212011
4301200303310231
53200123400321
6214232241221
726404462405
oct6140636455
92126063764
10830684461
11396999592
121b2240211
13103137589
147c475805
154cdd8ae1
hex31833d2d

830684461 has 2 divisors, whose sum is σ = 830684462. Its totient is φ = 830684460.

The previous prime is 830684453. The next prime is 830684467. The reversal of 830684461 is 164486038.

830684461 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., 782936361 + 47748100 = 27981^2 + 6910^2 .

It is a cyclic number.

It is not a de Polignac number, because 830684461 - 23 = 830684453 is a prime.

It is a super-4 number, since 4×8306844614 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (830684467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415342230 + 415342231.

It is an arithmetic number, because the mean of its divisors is an integer number (415342231).

Almost surely, 2830684461 is an apocalyptic number.

It is an amenable number.

830684461 is a deficient number, since it is larger than the sum of its proper divisors (1).

830684461 is an equidigital number, since it uses as much as digits as its factorization.

830684461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 830684461 is about 28821.5971278484. The cubic root of 830684461 is about 940.0378968424.

The spelling of 830684461 in words is "eight hundred thirty million, six hundred eighty-four thousand, four hundred sixty-one".