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829606993 is a prime number
BaseRepresentation
bin110001011100101…
…100110001010001
32010211001101211221
4301130230301101
53144334410433
6214153205041
726362354165
oct6134546121
92124041757
10829606993
11396323016
121b1a00781
13102b4b017
147c274ca5
154cc7472d
hex3172cc51

829606993 has 2 divisors, whose sum is σ = 829606994. Its totient is φ = 829606992.

The previous prime is 829606979. The next prime is 829607047. The reversal of 829606993 is 399606928.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727758529 + 101848464 = 26977^2 + 10092^2 .

It is a cyclic number.

It is not a de Polignac number, because 829606993 - 213 = 829598801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829606993.

It is not a weakly prime, because it can be changed into another prime (829606913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414803496 + 414803497.

It is an arithmetic number, because the mean of its divisors is an integer number (414803497).

Almost surely, 2829606993 is an apocalyptic number.

It is an amenable number.

829606993 is a deficient number, since it is larger than the sum of its proper divisors (1).

829606993 is an equidigital number, since it uses as much as digits as its factorization.

829606993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 829606993 is about 28802.8990381177. The cubic root of 829606993 is about 939.6312847701.

The spelling of 829606993 in words is "eight hundred twenty-nine million, six hundred six thousand, nine hundred ninety-three".