1005656641 has 8 divisors (see below), whose sum is σ = 1161614304. Its totient is φ = 860454720.

The previous prime is 1005656621. The next prime is 1005656653. The reversal of 1005656641 is 1466565001.

It is a happy number.

1005656641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005656641 - 2⁹ = 1005656129 is a prime.

It is a super-2 number, since 2×1005656641² = 2022690559174805762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005656597 and 1005656606.

It is not an unprimeable number, because it can be changed into a prime (1005656611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2688735 + ... + 2689108.

It is an arithmetic number, because the mean of its divisors is an integer number (145201788).

Almost surely, 2^1005656641 is an apocalyptic number.

1005656641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005656641 is a deficient number, since it is larger than the sum of its proper divisors (155957663).

1005656641 is a wasteful number, since it uses less digits than its factorization.

1005656641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377871.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1005656641 is about 31712.0898239142. The cubic root of 1005656641 is about 1001.8820028433.

The spelling of 1005656641 in words is "one billion, five million, six hundred fifty-six thousand, six hundred forty-one".