Search a number
-
+
36616001 is a prime number
BaseRepresentation
bin1000101110101…
…1011101000001
32112220021201012
42023223131001
533333203001
63344450305
7623142122
oct213533501
975807635
1036616001
111973a164
1210319995
137780496
144c12049
1533342bb
hex22eb741

36616001 has 2 divisors, whose sum is σ = 36616002. Its totient is φ = 36616000.

The previous prime is 36615989. The next prime is 36616003. The reversal of 36616001 is 10061663.

36616001 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., 36590401 + 25600 = 6049^2 + 160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36616001 is a prime.

Together with 36616003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36616003) 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, 18308000 + 18308001.

It is an arithmetic number, because the mean of its divisors is an integer number (18308001).

Almost surely, 236616001 is an apocalyptic number.

It is an amenable number.

36616001 is a deficient number, since it is larger than the sum of its proper divisors (1).

36616001 is an equidigital number, since it uses as much as digits as its factorization.

36616001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 36616001 is about 6051.1156822523. The cubic root of 36616001 is about 332.0654084367.

Adding to 36616001 its reverse (10061663), we get a palindrome (46677664).

The spelling of 36616001 in words is "thirty-six million, six hundred sixteen thousand, one".