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820270937 is a prime number
BaseRepresentation
bin110000111001000…
…101011101011001
32010011111002012002
4300321011131121
53134442132222
6213221130345
726220121313
oct6071053531
92104432162
10820270937
11391026772
121aa8599b5
13100c2c725
147ad247b3
154c02d392
hex30e45759

820270937 has 2 divisors, whose sum is σ = 820270938. Its totient is φ = 820270936.

The previous prime is 820270921. The next prime is 820270951. The reversal of 820270937 is 739072028.

820270937 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., 745344601 + 74926336 = 27301^2 + 8656^2 .

It is a cyclic number.

It is not a de Polignac number, because 820270937 - 24 = 820270921 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820270937.

It is not a weakly prime, because it can be changed into another prime (820270237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410135468 + 410135469.

It is an arithmetic number, because the mean of its divisors is an integer number (410135469).

Almost surely, 2820270937 is an apocalyptic number.

It is an amenable number.

820270937 is a deficient number, since it is larger than the sum of its proper divisors (1).

820270937 is an equidigital number, since it uses as much as digits as its factorization.

820270937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 820270937 is about 28640.3725010692. The cubic root of 820270937 is about 936.0932381034.

The spelling of 820270937 in words is "eight hundred twenty million, two hundred seventy thousand, nine hundred thirty-seven".