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829607047 is a prime number
BaseRepresentation
bin110001011100101…
…100110010000111
32010211001101220221
4301130230302013
53144334411142
6214153205211
726362354303
oct6134546207
92124041827
10829607047
11396323065
121b1a00807
13102b4b059
147c274d03
154cc74767
hex3172cc87

829607047 has 2 divisors, whose sum is σ = 829607048. Its totient is φ = 829607046.

The previous prime is 829606993. The next prime is 829607087. The reversal of 829607047 is 740706928.

829607047 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 is a cyclic number.

It is not a de Polignac number, because 829607047 - 227 = 695389319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829606994 and 829607012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829607087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414803523 + 414803524.

It is an arithmetic number, because the mean of its divisors is an integer number (414803524).

Almost surely, 2829607047 is an apocalyptic number.

829607047 is a deficient number, since it is larger than the sum of its proper divisors (1).

829607047 is an equidigital number, since it uses as much as digits as its factorization.

829607047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 829607047 is about 28802.8999755233. The cubic root of 829607047 is about 939.6313051573.

The spelling of 829607047 in words is "eight hundred twenty-nine million, six hundred seven thousand, forty-seven".