Search a number
-
+
37089841 is a prime number
BaseRepresentation
bin1000110101111…
…1001000110001
32120210100200211
42031133020301
533443333331
63402544121
7630154435
oct215371061
976710624
1037089841
1119a33168
1210508041
1378b8069
144cd69c5
1533c98b1
hex235f231

37089841 has 2 divisors, whose sum is σ = 37089842. Its totient is φ = 37089840.

The previous prime is 37089827. The next prime is 37089847. The reversal of 37089841 is 14898073.

37089841 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., 21715600 + 15374241 = 4660^2 + 3921^2 .

It is a cyclic number.

It is not a de Polignac number, because 37089841 - 25 = 37089809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37089794 and 37089803.

It is not a weakly prime, because it can be changed into another prime (37089847) 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, 18544920 + 18544921.

It is an arithmetic number, because the mean of its divisors is an integer number (18544921).

Almost surely, 237089841 is an apocalyptic number.

It is an amenable number.

37089841 is a deficient number, since it is larger than the sum of its proper divisors (1).

37089841 is an equidigital number, since it uses as much as digits as its factorization.

37089841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 37089841 is about 6090.1429375672. The cubic root of 37089841 is about 333.4916699988.

The spelling of 37089841 in words is "thirty-seven million, eighty-nine thousand, eight hundred forty-one".