Search a number
-
+
12338509 is a prime number
BaseRepresentation
bin101111000100…
…010101001101
3212012212020211
4233010111031
511124313014
61120242421
7206606221
oct57042515
925185224
1012338509
116a68117
124170411
1327300c1
1418d2781
15113acc4
hexbc454d

12338509 has 2 divisors, whose sum is σ = 12338510. Its totient is φ = 12338508.

The previous prime is 12338507. The next prime is 12338539. The reversal of 12338509 is 90583321.

It is a happy number.

12338509 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., 6360484 + 5978025 = 2522^2 + 2445^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338509 - 21 = 12338507 is a prime.

Together with 12338507, 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 (12338503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6169254 + 6169255.

It is an arithmetic number, because the mean of its divisors is an integer number (6169255).

Almost surely, 212338509 is an apocalyptic number.

It is an amenable number.

12338509 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338509 is an equidigital number, since it uses as much as digits as its factorization.

12338509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 12338509 is about 3512.6213858029. The cubic root of 12338509 is about 231.0756734389.

The spelling of 12338509 in words is "twelve million, three hundred thirty-eight thousand, five hundred nine".