1006611165 has 96 divisors (see below), whose sum is σ = 2191536000. Its totient is φ = 435891456.

The previous prime is 1006611161. The next prime is 1006611251. The reversal of 1006611165 is 5611166001.

It is not a de Polignac number, because 1006611165 - 2² = 1006611161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006611161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121681 + ... + 129689.

It is an arithmetic number, because the mean of its divisors is an integer number (22828500).

Almost surely, 2^1006611165 is an apocalyptic number.

1006611165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006611165 is an abundant number, since it is smaller than the sum of its proper divisors (1184924835).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006611165 is a wasteful number, since it uses less digits than its factorization.

1006611165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1006611165 is about 31727.1360982992. The cubic root of 1006611165 is about 1002.1988830361.

Adding to 1006611165 its reverse (5611166001), we get a palindrome (6617777166).

It can be divided in two parts, 1006 and 611165, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 1006611165 in words is "one billion, six million, six hundred eleven thousand, one hundred sixty-five".