Search a number
-
+
37664201 is a prime number
BaseRepresentation
bin1000111110101…
…1010111001001
32121212112120102
42033223113021
534120223301
63423135145
7635066111
oct217532711
977775512
1037664201
111a295743
12107444b5
137a59613
145006041
15348eb6b
hex23eb5c9

37664201 has 2 divisors, whose sum is σ = 37664202. Its totient is φ = 37664200.

The previous prime is 37664189. The next prime is 37664219. The reversal of 37664201 is 10246673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21855625 + 15808576 = 4675^2 + 3976^2 .

It is an emirp because it is prime and its reverse (10246673) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37664201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37664701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18832100 + 18832101.

It is an arithmetic number, because the mean of its divisors is an integer number (18832101).

Almost surely, 237664201 is an apocalyptic number.

It is an amenable number.

37664201 is a deficient number, since it is larger than the sum of its proper divisors (1).

37664201 is an equidigital number, since it uses as much as digits as its factorization.

37664201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 37664201 is about 6137.1166682735. The cubic root of 37664201 is about 335.2043039806.

The spelling of 37664201 in words is "thirty-seven million, six hundred sixty-four thousand, two hundred one".