Search a number
-
+
36744137 is a prime number
BaseRepresentation
bin1000110000101…
…0101111001001
32120010210110222
42030022233021
533401303022
63351315425
7624214523
oct214125711
976123428
1036744137
1119817461
121037bb75
1377c68c1
144c46a13
15335c242
hex230abc9

36744137 has 2 divisors, whose sum is σ = 36744138. Its totient is φ = 36744136.

The previous prime is 36744107. The next prime is 36744139. The reversal of 36744137 is 73144763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23319241 + 13424896 = 4829^2 + 3664^2 .

It is a cyclic number.

It is not a de Polignac number, because 36744137 - 28 = 36743881 is a prime.

Together with 36744139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36744097 and 36744106.

It is not a weakly prime, because it can be changed into another prime (36744139) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18372068 + 18372069.

It is an arithmetic number, because the mean of its divisors is an integer number (18372069).

Almost surely, 236744137 is an apocalyptic number.

It is an amenable number.

36744137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36744137 is an equidigital number, since it uses as much as digits as its factorization.

36744137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 35.

The square root of 36744137 is about 6061.6942351128. The cubic root of 36744137 is about 332.4523066498.

The spelling of 36744137 in words is "thirty-six million, seven hundred forty-four thousand, one hundred thirty-seven".