Search a number
-
+
9921137 is a prime number
BaseRepresentation
bin100101110110…
…001001110001
3200200001020112
4211312021301
510014434022
6552351105
7150220412
oct45661161
920601215
109921137
115666996
1233a5495
1320949c5
141463809
15d0e8e2
hex976271

9921137 has 2 divisors, whose sum is σ = 9921138. Its totient is φ = 9921136.

The previous prime is 9921133. The next prime is 9921167. The reversal of 9921137 is 7311299.

It is a happy number.

9921137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9480241 + 440896 = 3079^2 + 664^2 .

It is a cyclic number.

It is not a de Polignac number, because 9921137 - 22 = 9921133 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p659741 and since 9921137 and 659741 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (9921133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4960568 + 4960569.

It is an arithmetic number, because the mean of its divisors is an integer number (4960569).

Almost surely, 29921137 is an apocalyptic number.

It is an amenable number.

9921137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9921137 is an equidigital number, since it uses as much as digits as its factorization.

9921137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 32.

The square root of 9921137 is about 3149.7836433635. The cubic root of 9921137 is about 214.8756230324.

The spelling of 9921137 in words is "nine million, nine hundred twenty-one thousand, one hundred thirty-seven".