Search a number
-
+
37378141 is a prime number
BaseRepresentation
bin1000111010010…
…1100001011101
32121100000011121
42032211201131
534032100031
63413050541
7632465113
oct216454135
977300147
1037378141
111a10a829
1210626a51
137989358
144d6dab3
153435011
hex23a585d

37378141 has 2 divisors, whose sum is σ = 37378142. Its totient is φ = 37378140.

The previous prime is 37378123. The next prime is 37378169. The reversal of 37378141 is 14187373.

37378141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19980900 + 17397241 = 4470^2 + 4171^2 .

It is a cyclic number.

It is not a de Polignac number, because 37378141 - 25 = 37378109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37378097 and 37378106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37378241) 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, 18689070 + 18689071.

It is an arithmetic number, because the mean of its divisors is an integer number (18689071).

Almost surely, 237378141 is an apocalyptic number.

It is an amenable number.

37378141 is a deficient number, since it is larger than the sum of its proper divisors (1).

37378141 is an equidigital number, since it uses as much as digits as its factorization.

37378141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 34.

The square root of 37378141 is about 6113.7665150053. The cubic root of 37378141 is about 334.3535196962.

The spelling of 37378141 in words is "thirty-seven million, three hundred seventy-eight thousand, one hundred forty-one".