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10097137 is a prime number
BaseRepresentation
bin100110100001…
…000111110001
3200222222200001
4212201013301
510041102022
61000230001
7151552501
oct46410761
920888601
1010097137
115777146
12346b301
132126b4b
1414aba01
15d46b27
hex9a11f1

10097137 has 2 divisors, whose sum is σ = 10097138. Its totient is φ = 10097136.

The previous prime is 10097119. The next prime is 10097149. The reversal of 10097137 is 73179001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5239521 + 4857616 = 2289^2 + 2204^2 .

It is a cyclic number.

It is not a de Polignac number, because 10097137 - 223 = 1708529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10097117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5048568 + 5048569.

It is an arithmetic number, because the mean of its divisors is an integer number (5048569).

Almost surely, 210097137 is an apocalyptic number.

It is an amenable number.

10097137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10097137 is an equidigital number, since it uses as much as digits as its factorization.

10097137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 28.

The square root of 10097137 is about 3177.5992510070. The cubic root of 10097137 is about 216.1388068137.

The spelling of 10097137 in words is "ten million, ninety-seven thousand, one hundred thirty-seven".