Search a number
-
+
4137629 is a prime number
BaseRepresentation
bin1111110010001010011101
321210012202112
433302022131
52024401004
6224403405
750112026
oct17621235
97705675
104137629
112376731
121476565
13b1b402
14799c4d
1556ae6e
hex3f229d

4137629 has 2 divisors, whose sum is σ = 4137630. Its totient is φ = 4137628.

The previous prime is 4137619. The next prime is 4137643. The reversal of 4137629 is 9267314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4108729 + 28900 = 2027^2 + 170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4137629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4137595 and 4137604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4137619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2068814 + 2068815.

It is an arithmetic number, because the mean of its divisors is an integer number (2068815).

Almost surely, 24137629 is an apocalyptic number.

It is an amenable number.

4137629 is a deficient number, since it is larger than the sum of its proper divisors (1).

4137629 is an equidigital number, since it uses as much as digits as its factorization.

4137629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 4137629 is about 2034.1162700298. The cubic root of 4137629 is about 160.5402182446.

The spelling of 4137629 in words is "four million, one hundred thirty-seven thousand, six hundred twenty-nine".