Search a number
-
+
3838097 is a prime number
BaseRepresentation
bin1110101001000010010001
321012222212202
432221002101
51440304342
6214132545
744423534
oct16510221
97188782
103838097
11219168a
121351155
13a44c83
1471ca1b
1550c332
hex3a9091

3838097 has 2 divisors, whose sum is σ = 3838098. Its totient is φ = 3838096.

The previous prime is 3838027. The next prime is 3838099. The reversal of 3838097 is 7908383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2202256 + 1635841 = 1484^2 + 1279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3838097 is a prime.

Together with 3838099, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3838097.

It is not a weakly prime, because it can be changed into another prime (3838099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1919048 + 1919049.

It is an arithmetic number, because the mean of its divisors is an integer number (1919049).

Almost surely, 23838097 is an apocalyptic number.

It is an amenable number.

3838097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3838097 is an equidigital number, since it uses as much as digits as its factorization.

3838097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 3838097 is about 1959.1061737435. The cubic root of 3838097 is about 156.5688333407.

The spelling of 3838097 in words is "three million, eight hundred thirty-eight thousand, ninety-seven".