Search a number
-
+
36973681 is a prime number
BaseRepresentation
bin1000110100001…
…0110001110001
32120120110100121
42031002301301
533431124211
63400250241
7626161663
oct215026161
976513317
1036973681
1119963968
1210470981
137877224
144ca6533
1533a5271
hex2342c71

36973681 has 2 divisors, whose sum is σ = 36973682. Its totient is φ = 36973680.

The previous prime is 36973649. The next prime is 36973711. The reversal of 36973681 is 18637963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35892081 + 1081600 = 5991^2 + 1040^2 .

It is a cyclic number.

It is not a de Polignac number, because 36973681 - 25 = 36973649 is a prime.

It is a super-2 number, since 2×369736812 = 2734106173379522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36971681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18486840 + 18486841.

It is an arithmetic number, because the mean of its divisors is an integer number (18486841).

Almost surely, 236973681 is an apocalyptic number.

It is an amenable number.

36973681 is a deficient number, since it is larger than the sum of its proper divisors (1).

36973681 is an equidigital number, since it uses as much as digits as its factorization.

36973681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 43.

The square root of 36973681 is about 6080.5987369666. The cubic root of 36973681 is about 333.1431567414.

The spelling of 36973681 in words is "thirty-six million, nine hundred seventy-three thousand, six hundred eighty-one".