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10638709 is a prime number
BaseRepresentation
bin101000100101…
…010101110101
3202000111120021
4220211111311
510210414314
61020005141
7156266434
oct50452565
922014507
1010638709
116007024
1236907b1
1322864c3
1415ad11b
15e02324
hexa25575

10638709 has 2 divisors, whose sum is σ = 10638710. Its totient is φ = 10638708.

The previous prime is 10638707. The next prime is 10638713. The reversal of 10638709 is 90783601.

10638709 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., 6517809 + 4120900 = 2553^2 + 2030^2 .

It is a cyclic number.

It is not a de Polignac number, because 10638709 - 21 = 10638707 is a prime.

It is a super-2 number, since 2×106387092 = 226364258373362, which contains 22 as substring.

Together with 10638707, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10638701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5319354 + 5319355.

It is an arithmetic number, because the mean of its divisors is an integer number (5319355).

Almost surely, 210638709 is an apocalyptic number.

It is an amenable number.

10638709 is a deficient number, since it is larger than the sum of its proper divisors (1).

10638709 is an equidigital number, since it uses as much as digits as its factorization.

10638709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 10638709 is about 3261.7033893351. The cubic root of 10638709 is about 219.9359937767.

The spelling of 10638709 in words is "ten million, six hundred thirty-eight thousand, seven hundred nine".