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820472027 is a prime number
BaseRepresentation
bin110000111001110…
…110100011011011
32010011212022000212
4300321312203123
53140020101102
6213225321335
726221616504
oct6071664333
92104768025
10820472027
11391153861
121aa93624b
13100ca010b
147ad77bab
154c06cc52
hex30e768db

820472027 has 2 divisors, whose sum is σ = 820472028. Its totient is φ = 820472026.

The previous prime is 820471999. The next prime is 820472047. The reversal of 820472027 is 720274028.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820472027 - 218 = 820209883 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 820471984 and 820472002.

It is not a weakly prime, because it can be changed into another prime (820472047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410236013 + 410236014.

It is an arithmetic number, because the mean of its divisors is an integer number (410236014).

Almost surely, 2820472027 is an apocalyptic number.

820472027 is a deficient number, since it is larger than the sum of its proper divisors (1).

820472027 is an equidigital number, since it uses as much as digits as its factorization.

820472027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 820472027 is about 28643.8828897201. The cubic root of 820472027 is about 936.1697264930.

The spelling of 820472027 in words is "eight hundred twenty million, four hundred seventy-two thousand, twenty-seven".