Search a number
-
+
27387401 is a prime number
BaseRepresentation
bin110100001111…
…0011000001001
31220112102110012
41220132120021
524002344101
62415001305
7451534436
oct150363011
956472405
1027387401
1114506618
129209235
13589ba82
1438ccb8d
15260ebbb
hex1a1e609

27387401 has 2 divisors, whose sum is σ = 27387402. Its totient is φ = 27387400.

The previous prime is 27387361. The next prime is 27387413. The reversal of 27387401 is 10478372.

27387401 = 37002 + 37012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13697401 + 13690000 = 3701^2 + 3700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27387401 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (27387461) 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, 13693700 + 13693701.

It is an arithmetic number, because the mean of its divisors is an integer number (13693701).

Almost surely, 227387401 is an apocalyptic number.

27387401 is the 3701-st centered square number.

It is an amenable number.

27387401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27387401 is an equidigital number, since it uses as much as digits as its factorization.

27387401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 27387401 is about 5233.2973353327. The cubic root of 27387401 is about 301.4280103547.

The spelling of 27387401 in words is "twenty-seven million, three hundred eighty-seven thousand, four hundred one".