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817830133 is a prime number
BaseRepresentation
bin110000101111110…
…001100011110101
32002222220002000221
4300233301203311
53133331031013
6213052534341
726160304261
oct6057614365
92088802027
10817830133
1138a70997a
121a9a813b1
13100586773
147a88b0a1
154bbea08d
hex30bf18f5

817830133 has 2 divisors, whose sum is σ = 817830134. Its totient is φ = 817830132.

The previous prime is 817830107. The next prime is 817830137. The reversal of 817830133 is 331038718.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462809169 + 355020964 = 21513^2 + 18842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-817830133 is a prime.

It is a super-2 number, since 2×8178301332 = 1337692252885595378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (817830137) 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, 408915066 + 408915067.

It is an arithmetic number, because the mean of its divisors is an integer number (408915067).

Almost surely, 2817830133 is an apocalyptic number.

It is an amenable number.

817830133 is a deficient number, since it is larger than the sum of its proper divisors (1).

817830133 is an equidigital number, since it uses as much as digits as its factorization.

817830133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 817830133 is about 28597.7295077774. The cubic root of 817830133 is about 935.1638337595.

The spelling of 817830133 in words is "eight hundred seventeen million, eight hundred thirty thousand, one hundred thirty-three".