1005067161 has 24 divisors (see below), whose sum is σ = 1671109440. Its totient is φ = 570187296.

The previous prime is 1005067103. The next prime is 1005067163. The reversal of 1005067161 is 1617605001.

It is not a de Polignac number, because 1005067161 - 2¹⁸ = 1004805017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005067163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48630 + ... + 66143.

It is an arithmetic number, because the mean of its divisors is an integer number (69629560).

Almost surely, 2^1005067161 is an apocalyptic number.

It is an amenable number.

1005067161 is a deficient number, since it is larger than the sum of its proper divisors (666042279).

1005067161 is a wasteful number, since it uses less digits than its factorization.

1005067161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114925 (or 114922 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1005067161 is about 31702.7942143906. The cubic root of 1005067161 is about 1001.6862087685.

The spelling of 1005067161 in words is "one billion, five million, sixty-seven thousand, one hundred sixty-one".