Search a number
-
+
37082041 is a prime number
BaseRepresentation
bin1000110101110…
…1001110111001
32120202221222221
42031131032321
533443111131
63402444041
7630122623
oct215351671
976687887
1037082041
1119a28317
1210503621
1378b4649
144cd3c13
1533c7411
hex235d3b9

37082041 has 2 divisors, whose sum is σ = 37082042. Its totient is φ = 37082040.

The previous prime is 37082009. The next prime is 37082051. The reversal of 37082041 is 14028073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21114025 + 15968016 = 4595^2 + 3996^2 .

It is an emirp because it is prime and its reverse (14028073) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37082041 - 25 = 37082009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37081997 and 37082015.

It is not a weakly prime, because it can be changed into another prime (37082051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18541020 + 18541021.

It is an arithmetic number, because the mean of its divisors is an integer number (18541021).

Almost surely, 237082041 is an apocalyptic number.

It is an amenable number.

37082041 is a deficient number, since it is larger than the sum of its proper divisors (1).

37082041 is an equidigital number, since it uses as much as digits as its factorization.

37082041 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 37082041 is about 6089.5025248373. The cubic root of 37082041 is about 333.4682905745.

The spelling of 37082041 in words is "thirty-seven million, eighty-two thousand, forty-one".