Search a number
-
+
37006121 is a prime number
BaseRepresentation
bin1000110100101…
…0101100101001
32120122002212002
42031022230221
533433143441
63401100345
7626355365
oct215125451
976562762
1037006121
1119986279
12104876b5
137888c19
144cb42a5
1533aeb9b
hex234ab29

37006121 has 2 divisors, whose sum is σ = 37006122. Its totient is φ = 37006120.

The previous prime is 37006051. The next prime is 37006139. The reversal of 37006121 is 12160073.

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., 36735721 + 270400 = 6061^2 + 520^2 .

It is an emirp because it is prime and its reverse (12160073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37006121 - 214 = 36989737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37006093 and 37006102.

It is not a weakly prime, because it can be changed into another prime (37006421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18503060 + 18503061.

It is an arithmetic number, because the mean of its divisors is an integer number (18503061).

Almost surely, 237006121 is an apocalyptic number.

It is an amenable number.

37006121 is a deficient number, since it is larger than the sum of its proper divisors (1).

37006121 is an equidigital number, since it uses as much as digits as its factorization.

37006121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 37006121 is about 6083.2656525915. The cubic root of 37006121 is about 333.2405594036.

Adding to 37006121 its reverse (12160073), we get a palindrome (49166194).

The spelling of 37006121 in words is "thirty-seven million, six thousand, one hundred twenty-one".