Search a number
-
+
39097181 is a prime number
BaseRepresentation
bin1001010100100…
…1001101011101
32201120100020202
42111021031131
540002102211
63513553245
7653214644
oct225111535
981510222
1039097181
1120084322
1211115825
13813b936
14529a35b
15367453b
hex254935d

39097181 has 2 divisors, whose sum is σ = 39097182. Its totient is φ = 39097180.

The previous prime is 39097151. The next prime is 39097187. The reversal of 39097181 is 18179093.

39097181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34409956 + 4687225 = 5866^2 + 2165^2 .

It is an emirp because it is prime and its reverse (18179093) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39097181 is a prime.

It is a super-2 number, since 2×390971812 = 3057179124293522, 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 (39097187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19548590 + 19548591.

It is an arithmetic number, because the mean of its divisors is an integer number (19548591).

Almost surely, 239097181 is an apocalyptic number.

It is an amenable number.

39097181 is a deficient number, since it is larger than the sum of its proper divisors (1).

39097181 is an equidigital number, since it uses as much as digits as its factorization.

39097181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 39097181 is about 6252.7738644541. The cubic root of 39097181 is about 339.4025870037.

The spelling of 39097181 in words is "thirty-nine million, ninety-seven thousand, one hundred eighty-one".