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4147361 is a prime number
BaseRepresentation
bin1111110100100010100001
321210201002222
433310202201
52030203421
6224520425
750152301
oct17644241
97721088
104147361
112382a79
121480115
13b2297a
1479d601
1556dcab
hex3f48a1

4147361 has 2 divisors, whose sum is σ = 4147362. Its totient is φ = 4147360.

The previous prime is 4147357. The next prime is 4147373. The reversal of 4147361 is 1637414.

4147361 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., 3876961 + 270400 = 1969^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 4147361 - 22 = 4147357 is a prime.

It is a super-3 number, since 3×41473613 (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4147361.

It is not a weakly prime, because it can be changed into another prime (4147321) 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, 2073680 + 2073681.

It is an arithmetic number, because the mean of its divisors is an integer number (2073681).

Almost surely, 24147361 is an apocalyptic number.

It is an amenable number.

4147361 is a deficient number, since it is larger than the sum of its proper divisors (1).

4147361 is an equidigital number, since it uses as much as digits as its factorization.

4147361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 4147361 is about 2036.5070586669. The cubic root of 4147361 is about 160.6659870573.

The spelling of 4147361 in words is "four million, one hundred forty-seven thousand, three hundred sixty-one".