Search a number
-
+
37204081 is a prime number
BaseRepresentation
bin1000110111101…
…1000001110001
32121000011101221
42031323001301
534011012311
63405225041
7631141465
oct215730161
977004357
1037204081
111a000a82
1210562181
137928065
144d264a5
1533ed671
hex237b071

37204081 has 2 divisors, whose sum is σ = 37204082. Its totient is φ = 37204080.

The previous prime is 37204051. The next prime is 37204103. The reversal of 37204081 is 18040273.

37204081 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., 33744481 + 3459600 = 5809^2 + 1860^2 .

It is an emirp because it is prime and its reverse (18040273) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37204081 - 25 = 37204049 is a prime.

It is a super-2 number, since 2×372040812 = 2768287286109122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37204001) 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, 18602040 + 18602041.

It is an arithmetic number, because the mean of its divisors is an integer number (18602041).

Almost surely, 237204081 is an apocalyptic number.

It is an amenable number.

37204081 is a deficient number, since it is larger than the sum of its proper divisors (1).

37204081 is an equidigital number, since it uses as much as digits as its factorization.

37204081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 37204081 is about 6099.5148167703. The cubic root of 37204081 is about 333.8337137048.

The spelling of 37204081 in words is "thirty-seven million, two hundred four thousand, eighty-one".