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27137017 is a prime number
BaseRepresentation
bin110011110000…
…1001111111001
31220001200222201
41213201033321
523421341032
62405350201
7446442445
oct147411771
956050881
1027137017
1114355496
129108361
135811b0b
143865825
1525b08e7
hex19e13f9

27137017 has 2 divisors, whose sum is σ = 27137018. Its totient is φ = 27137016.

The previous prime is 27137003. The next prime is 27137027. The reversal of 27137017 is 71073172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 1371241 = 5076^2 + 1171^2 .

It is a cyclic number.

It is not a de Polignac number, because 27137017 - 211 = 27134969 is a prime.

It is equal to p1691092 and since 27137017 and 1691092 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 (27137027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13568508 + 13568509.

It is an arithmetic number, because the mean of its divisors is an integer number (13568509).

Almost surely, 227137017 is an apocalyptic number.

It is an amenable number.

27137017 is a deficient number, since it is larger than the sum of its proper divisors (1).

27137017 is an equidigital number, since it uses as much as digits as its factorization.

27137017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 27137017 is about 5209.3202051707. The cubic root of 27137017 is about 300.5066143618.

It can be divided in two parts, 2713 and 7017, that added together give a triangular number (9730 = T139).

The spelling of 27137017 in words is "twenty-seven million, one hundred thirty-seven thousand, seventeen".