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820734997 is a prime number
BaseRepresentation
bin110000111010110…
…110110000010101
32010012100122202111
4300322312300111
53140102004442
6213235111021
726224063255
oct6072666025
92105318674
10820734997
11391313395
121aaa42471
13101062a14
147b005965
154c0c0b17
hex30eb6c15

820734997 has 2 divisors, whose sum is σ = 820734998. Its totient is φ = 820734996.

The previous prime is 820734991. The next prime is 820735049. The reversal of 820734997 is 799437028.

820734997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 722050641 + 98684356 = 26871^2 + 9934^2 .

It is a cyclic number.

It is not a de Polignac number, because 820734997 - 223 = 812346389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820734997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820734991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410367498 + 410367499.

It is an arithmetic number, because the mean of its divisors is an integer number (410367499).

Almost surely, 2820734997 is an apocalyptic number.

It is an amenable number.

820734997 is a deficient number, since it is larger than the sum of its proper divisors (1).

820734997 is an equidigital number, since it uses as much as digits as its factorization.

820734997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 820734997 is about 28648.4728563322. The cubic root of 820734997 is about 936.2697332566.

The spelling of 820734997 in words is "eight hundred twenty million, seven hundred thirty-four thousand, nine hundred ninety-seven".