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10822873 is a prime number
BaseRepresentation
bin101001010010…
…010011011001
3202100212012011
4221102103121
510232312443
61023545521
7160664365
oct51222331
922325164
1010822873
116122426
12375b2a1
13231c289
14161a2a5
15e3bb9d
hexa524d9

10822873 has 2 divisors, whose sum is σ = 10822874. Its totient is φ = 10822872.

The previous prime is 10822871. The next prime is 10822879. The reversal of 10822873 is 37822801.

10822873 is digitally balanced in base 3, 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., 7767369 + 3055504 = 2787^2 + 1748^2 .

It is a cyclic number.

It is not a de Polignac number, because 10822873 - 21 = 10822871 is a prime.

Together with 10822871, it forms a pair of twin primes.

It is equal to p715558 and since 10822873 and 715558 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10822871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5411436 + 5411437.

It is an arithmetic number, because the mean of its divisors is an integer number (5411437).

Almost surely, 210822873 is an apocalyptic number.

It is an amenable number.

10822873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10822873 is an equidigital number, since it uses as much as digits as its factorization.

10822873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 10822873 is about 3289.8135205510. The cubic root of 10822873 is about 221.1978259092.

The spelling of 10822873 in words is "ten million, eight hundred twenty-two thousand, eight hundred seventy-three".