Search a number
-
+
36897137 is a prime number
BaseRepresentation
bin1000110011000…
…0000101110001
32120102120100122
42030300011301
533421202022
63354500025
7625422554
oct214600561
976376318
1036897137
1119911402
1210434615
13784b434
144c8669b
15338c742
hex2330171

36897137 has 2 divisors, whose sum is σ = 36897138. Its totient is φ = 36897136.

The previous prime is 36897121. The next prime is 36897143. The reversal of 36897137 is 73179863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36372961 + 524176 = 6031^2 + 724^2 .

It is an emirp because it is prime and its reverse (73179863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36897137 - 24 = 36897121 is a prime.

It is a super-2 number, since 2×368971372 = 2722797437593538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36897337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18448568 + 18448569.

It is an arithmetic number, because the mean of its divisors is an integer number (18448569).

Almost surely, 236897137 is an apocalyptic number.

It is an amenable number.

36897137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36897137 is an equidigital number, since it uses as much as digits as its factorization.

36897137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512, while the sum is 44.

The square root of 36897137 is about 6074.3013590042. The cubic root of 36897137 is about 332.9131036659.

The spelling of 36897137 in words is "thirty-six million, eight hundred ninety-seven thousand, one hundred thirty-seven".