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814802969 is a prime number
BaseRepresentation
bin110000100100001…
…110100000011001
32002210012021112202
4300210032200121
53132042143334
6212504015545
726122465601
oct6044164031
92083167482
10814802969
11388a31592
121a8a615b5
13cca66946
147a2ddc01
154b7ed17e
hex3090e819

814802969 has 2 divisors, whose sum is σ = 814802970. Its totient is φ = 814802968.

The previous prime is 814802929. The next prime is 814802993. The reversal of 814802969 is 969208418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 786073369 + 28729600 = 28037^2 + 5360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-814802969 is a prime.

It is a super-2 number, since 2×8148029692 = 1327807756582429922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (814802929) 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, 407401484 + 407401485.

It is an arithmetic number, because the mean of its divisors is an integer number (407401485).

Almost surely, 2814802969 is an apocalyptic number.

It is an amenable number.

814802969 is a deficient number, since it is larger than the sum of its proper divisors (1).

814802969 is an equidigital number, since it uses as much as digits as its factorization.

814802969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 814802969 is about 28544.7537911960. The cubic root of 814802969 is about 934.0085839548.

The spelling of 814802969 in words is "eight hundred fourteen million, eight hundred two thousand, nine hundred sixty-nine".