Search a number
-
+
10327937 is a prime number
BaseRepresentation
bin100111011001…
…011110000001
3201102201021012
4213121132001
510120443222
61005210305
7153533414
oct47313601
921381235
1010327937
115914594
123560995
1321a7c09
14152bb7b
15d901e2
hex9d9781

10327937 has 2 divisors, whose sum is σ = 10327938. Its totient is φ = 10327936.

The previous prime is 10327903. The next prime is 10327949. The reversal of 10327937 is 73972301.

10327937 is digitally balanced in base 2 and base 3, because in such bases 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., 8300161 + 2027776 = 2881^2 + 1424^2 .

It is a cyclic number.

It is not a de Polignac number, because 10327937 - 210 = 10326913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10327987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5163968 + 5163969.

It is an arithmetic number, because the mean of its divisors is an integer number (5163969).

Almost surely, 210327937 is an apocalyptic number.

It is an amenable number.

10327937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10327937 is an equidigital number, since it uses as much as digits as its factorization.

10327937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 10327937 is about 3213.7107835025. The cubic root of 10327937 is about 217.7732470963.

The spelling of 10327937 in words is "ten million, three hundred twenty-seven thousand, nine hundred thirty-seven".