Search a number
4122641 is a prime number
BaseRepresentation
bin1111101110100000010001
321202110012102
433232200101
52023411031
6224210145
750020235
oct17564021
97673172
104122641
112366446
121469955
13b14643
147945c5
155667cb
hex3ee811

4122641 has 2 divisors, whose sum is σ = 4122642. Its totient is φ = 4122640.

The previous prime is 4122631. The next prime is 4122647. The reversal of 4122641 is 1462214.

4122641 is digitally balanced in base 2, 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., 2958400 + 1164241 = 1720^2 + 1079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4122641 is a prime.

It is a Chen prime.

It is equal to p291233 and since 4122641 and 291233 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4122647) 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, 2061320 + 2061321.

It is an arithmetic number, because the mean of its divisors is an integer number (2061321).

Almost surely, 24122641 is an apocalyptic number.

It is an amenable number.

4122641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4122641 is an equidigital number, since it uses as much as digits as its factorization.

4122641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 4122641 is about 2030.4287724518. The cubic root of 4122641 is about 160.3461386560.

Adding to 4122641 its reverse (1462214), we get a palindrome (5584855).

The spelling of 4122641 in words is "four million, one hundred twenty-two thousand, six hundred forty-one".