Search a number
-
+
27144961 is a prime number
BaseRepresentation
bin110011110001…
…1001100000001
31220002002212221
41213203030001
523422114321
62405451041
7446504554
oct147431401
956062787
1027144961
1114360458
129110a81
13581560c
14386869b
1525b2e41
hex19e3301

27144961 has 2 divisors, whose sum is σ = 27144962. Its totient is φ = 27144960.

The previous prime is 27144959. The next prime is 27144967. The reversal of 27144961 is 16944172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25441936 + 1703025 = 5044^2 + 1305^2 .

It is a cyclic number.

It is not a de Polignac number, because 27144961 - 21 = 27144959 is a prime.

Together with 27144959, it forms a pair of twin primes.

It is equal to p1691566 and since 27144961 and 1691566 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 (27144967) 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, 13572480 + 13572481.

It is an arithmetic number, because the mean of its divisors is an integer number (13572481).

Almost surely, 227144961 is an apocalyptic number.

It is an amenable number.

27144961 is a deficient number, since it is larger than the sum of its proper divisors (1).

27144961 is an equidigital number, since it uses as much as digits as its factorization.

27144961 is an odious number, because the sum of its binary digits is odd.

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

The square root of 27144961 is about 5210.0826289033. The cubic root of 27144961 is about 300.5359346028.

The spelling of 27144961 in words is "twenty-seven million, one hundred forty-four thousand, nine hundred sixty-one".