Search a number
-
+
3786401 is a prime number
BaseRepresentation
bin1110011100011010100001
321010100222002
432130122201
51432131101
6213053345
744120033
oct16343241
97110862
103786401
112156863
121327255
13a27598
14707c53
154ebd6b
hex39c6a1

3786401 has 2 divisors, whose sum is σ = 3786402. Its totient is φ = 3786400.

The previous prime is 3786397. The next prime is 3786403. The reversal of 3786401 is 1046873.

3786401 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., 3763600 + 22801 = 1940^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 3786401 - 22 = 3786397 is a prime.

Together with 3786403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3786403) 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, 1893200 + 1893201.

It is an arithmetic number, because the mean of its divisors is an integer number (1893201).

Almost surely, 23786401 is an apocalyptic number.

It is an amenable number.

3786401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3786401 is an equidigital number, since it uses as much as digits as its factorization.

3786401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3786401 is about 1945.8676727876. The cubic root of 3786401 is about 155.8627024504.

The spelling of 3786401 in words is "three million, seven hundred eighty-six thousand, four hundred one".