4000741 has 2 divisors, whose sum is σ = 4000742. Its totient is φ = 4000740.

The previous prime is 4000723. The next prime is 4000747. The reversal of 4000741 is 1470004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3940225 + 60516 = 1985^2 + 246^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000741 - 2⁵ = 4000709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000747) 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, 2000370 + 2000371.

It is an arithmetic number, because the mean of its divisors is an integer number (2000371).

Almost surely, 2^4000741 is an apocalyptic number.

It is an amenable number.

4000741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000741 is an equidigital number, since it uses as much as digits as its factorization.

4000741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4000741 is about 2000.1852414214. The cubic root of 4000741 is about 158.7499067931.

Adding to 4000741 its reverse (1470004), we get a palindrome (5470745).

The spelling of 4000741 in words is "four million, seven hundred forty-one", and thus it is an aban number.