1017166661 has 32 divisors (see below), whose sum is σ = 1259089920. Its totient is φ = 801964800.

The previous prime is 1017166649. The next prime is 1017166669. The reversal of 1017166661 is 1666617101.

1017166661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1017166661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017166669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106360 + ... + 1107278.

It is an arithmetic number, because the mean of its divisors is an integer number (39346560).

Almost surely, 2^1017166661 is an apocalyptic number.

It is an amenable number.

1017166661 is a deficient number, since it is larger than the sum of its proper divisors (241923259).

1017166661 is a wasteful number, since it uses less digits than its factorization.

1017166661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1017166661 is about 31893.0503558377. The cubic root of 1017166661 is about 1005.6897852771.

The spelling of 1017166661 in words is "one billion, seventeen million, one hundred sixty-six thousand, six hundred sixty-one".