3681001 has 2 divisors, whose sum is σ = 3681002. Its totient is φ = 3681000.

The previous prime is 3680987. The next prime is 3681017. The reversal of 3681001 is 1001863.

3681001 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., 3326976 + 354025 = 1824^2 + 595^2 .

It is a cyclic number.

It is not a de Polignac number, because 3681001 - 2⁹ = 3680489 is a prime.

3681001 is a lucky number.

It is equal to p₂₆₂₁₃₅ and since 3681001 and 262135 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3681001.

It is not a weakly prime, because it can be changed into another prime (3681031) 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, 1840500 + 1840501.

It is an arithmetic number, because the mean of its divisors is an integer number (1840501).

Almost surely, 2^3681001 is an apocalyptic number.

It is an amenable number.

3681001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681001 is an equidigital number, since it uses as much as digits as its factorization.

3681001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3681001 is about 1918.5934952459. The cubic root of 3681001 is about 154.4028498002.

Adding to 3681001 its reverse (1001863), we get a palindrome (4682864).

It can be divided in two parts, 368 and 1001, that added together give a square (1369 = 37²).

The spelling of 3681001 in words is "three million, six hundred eighty-one thousand, one".