1006704441 has 6 divisors (see below), whose sum is σ = 1454128650. Its totient is φ = 671136288.

The previous prime is 1006704437. The next prime is 1006704481. The reversal of 1006704441 is 1444076001.

It can be written as a sum of positive squares in only one way, i.e., 972130041 + 34574400 = 31179^2 + 5880^2 .

It is not a de Polignac number, because 1006704441 - 2² = 1006704437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006704401) 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 in 5 ways as a sum of consecutive naturals, for example, 55928016 + ... + 55928033.

It is an arithmetic number, because the mean of its divisors is an integer number (242354775).

Almost surely, 2^1006704441 is an apocalyptic number.

It is an amenable number.

1006704441 is a deficient number, since it is larger than the sum of its proper divisors (447424209).

1006704441 is a wasteful number, since it uses less digits than its factorization.

1006704441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111856055 (or 111856052 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1006704441 is about 31728.6060361939. The cubic root of 1006704441 is about 1002.2298377944.

It can be divided in two parts, 100670 and 4441, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1006704441 in words is "one billion, six million, seven hundred four thousand, four hundred forty-one".