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10038797 is a prime number
BaseRepresentation
bin100110010010…
…111000001101
3200220000122022
4212102320031
510032220142
6555055525
7151220426
oct46227015
920800568
1010038797
11573732a
1234415a5
132106422
14149464d
15d346d2
hex992e0d

10038797 has 2 divisors, whose sum is σ = 10038798. Its totient is φ = 10038796.

The previous prime is 10038781. The next prime is 10038799. The reversal of 10038797 is 79783001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6405961 + 3632836 = 2531^2 + 1906^2 .

It is an emirp because it is prime and its reverse (79783001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10038797 - 24 = 10038781 is a prime.

Together with 10038799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10038799) 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, 5019398 + 5019399.

It is an arithmetic number, because the mean of its divisors is an integer number (5019399).

Almost surely, 210038797 is an apocalyptic number.

It is an amenable number.

10038797 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038797 is an equidigital number, since it uses as much as digits as its factorization.

10038797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 10038797 is about 3168.4060661475. The cubic root of 10038797 is about 215.7217281344.

The spelling of 10038797 in words is "ten million, thirty-eight thousand, seven hundred ninety-seven".