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289135997 is a prime number
BaseRepresentation
bin10001001110111…
…101110101111101
3202011001122000122
4101032331311331
51043004322442
644405104325
710110421043
oct2116756575
9664048018
10289135997
11139234177
12809b80a5
1347b95bb7
142a586393
151a5b4dd2
hex113bdd7d

289135997 has 2 divisors, whose sum is σ = 289135998. Its totient is φ = 289135996.

The previous prime is 289135981. The next prime is 289136027. The reversal of 289135997 is 799531982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285407236 + 3728761 = 16894^2 + 1931^2 .

It is a cyclic number.

It is not a de Polignac number, because 289135997 - 24 = 289135981 is a prime.

It is a super-2 number, since 2×2891359972 = 167199249522368018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289135097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144567998 + 144567999.

It is an arithmetic number, because the mean of its divisors is an integer number (144567999).

Almost surely, 2289135997 is an apocalyptic number.

It is an amenable number.

289135997 is a deficient number, since it is larger than the sum of its proper divisors (1).

289135997 is an equidigital number, since it uses as much as digits as its factorization.

289135997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1224720, while the sum is 53.

The square root of 289135997 is about 17003.9994413079. Note that the first 3 decimals coincide. The cubic root of 289135997 is about 661.2525929265.

The spelling of 289135997 in words is "two hundred eighty-nine million, one hundred thirty-five thousand, nine hundred ninety-seven".