Search a number
-
+
10206997 is a prime number
BaseRepresentation
bin100110111011…
…111100010101
3201012120100221
4212323330111
510103110442
61002434341
7152521003
oct46737425
921176327
1010206997
115841739
1235029b1
132164b58
1414d9a73
15d69467
hex9bbf15

10206997 has 2 divisors, whose sum is σ = 10206998. Its totient is φ = 10206996.

The previous prime is 10206983. The next prime is 10207003. The reversal of 10206997 is 79960201.

10206997 is digitally balanced in base 3, because in such base 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., 7017201 + 3189796 = 2649^2 + 1786^2 .

It is an emirp because it is prime and its reverse (79960201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10206997 - 211 = 10204949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10206907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103498 + 5103499.

It is an arithmetic number, because the mean of its divisors is an integer number (5103499).

Almost surely, 210206997 is an apocalyptic number.

It is an amenable number.

10206997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206997 is an equidigital number, since it uses as much as digits as its factorization.

10206997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 10206997 is about 3194.8391195802. The cubic root of 10206997 is about 216.9198667787.

The spelling of 10206997 in words is "ten million, two hundred six thousand, nine hundred ninety-seven".