Search a number
-
+
10338821 is a prime number
BaseRepresentation
bin100111011100…
…001000000101
3201110021012022
4213130020011
510121320241
61005332525
7153610223
oct47341005
921407168
1010338821
115921789
123567145
1321acb5c
141531b13
15d9354b
hex9dc205

10338821 has 2 divisors, whose sum is σ = 10338822. Its totient is φ = 10338820.

The previous prime is 10338787. The next prime is 10338827. The reversal of 10338821 is 12883301.

10338821 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., 10329796 + 9025 = 3214^2 + 95^2 .

It is an emirp because it is prime and its reverse (12883301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10338821 - 222 = 6144517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10338827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5169410 + 5169411.

It is an arithmetic number, because the mean of its divisors is an integer number (5169411).

Almost surely, 210338821 is an apocalyptic number.

It is an amenable number.

10338821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10338821 is an equidigital number, since it uses as much as digits as its factorization.

10338821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10338821 is about 3215.4037071572. The cubic root of 10338821 is about 217.8497196739.

The spelling of 10338821 in words is "ten million, three hundred thirty-eight thousand, eight hundred twenty-one".