1005035665 has 16 divisors (see below), whose sum is σ = 1308137040. Its totient is φ = 738273280.

The previous prime is 1005035653. The next prime is 1005035671. The reversal of 1005035665 is 5665305001.

It can be written as a sum of positive squares in 8 ways, for example, as 164557584 + 840478081 = 12828^2 + 28991^2 .

It is not a de Polignac number, because 1005035665 - 2¹³ = 1005027473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140710 + ... + 147679.

It is an arithmetic number, because the mean of its divisors is an integer number (81758565).

Almost surely, 2^1005035665 is an apocalyptic number.

It is an amenable number.

1005035665 is a deficient number, since it is larger than the sum of its proper divisors (303101375).

1005035665 is a wasteful number, since it uses less digits than its factorization.

1005035665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288452.

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 1005035665 is about 31702.2974719499. The cubic root of 1005035665 is about 1001.6757453091.

The spelling of 1005035665 in words is "one billion, five million, thirty-five thousand, six hundred sixty-five".