1004735441 has 2 divisors, whose sum is σ = 1004735442. Its totient is φ = 1004735440.

The previous prime is 1004735437. The next prime is 1004735461. The reversal of 1004735441 is 1445374001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 755095441 + 249640000 = 27479^2 + 15800^2 .

It is an emirp because it is prime and its reverse (1445374001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004735441 - 2² = 1004735437 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004735461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502367720 + 502367721.

It is an arithmetic number, because the mean of its divisors is an integer number (502367721).

Almost surely, 2^1004735441 is an apocalyptic number.

It is an amenable number.

1004735441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004735441 is an equidigital number, since it uses as much as digits as its factorization.

1004735441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1004735441 is about 31697.5620671370. The cubic root of 1004735441 is about 1001.5759952675.

The spelling of 1004735441 in words is "one billion, four million, seven hundred thirty-five thousand, four hundred forty-one".