1005327117 has 12 divisors (see below), whose sum is σ = 1498982784. Its totient is φ = 648597960.

The previous prime is 1005327101. The next prime is 1005327119. The reversal of 1005327117 is 7117235001.

It is a happy number.

1005327117 is a `hidden beast` number, since 10 + 0 + 532 + 7 + 117 = 666.

It is not a de Polignac number, because 1005327117 - 2⁴ = 1005327101 is a prime.

It is a super-2 number, since 2×1005327117² = 2021365224351063378, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005327119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1801383 + ... + 1801940.

It is an arithmetic number, because the mean of its divisors is an integer number (124915232).

Almost surely, 2^1005327117 is an apocalyptic number.

It is an amenable number.

1005327117 is a deficient number, since it is larger than the sum of its proper divisors (493655667).

1005327117 is a wasteful number, since it uses less digits than its factorization.

1005327117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603360 (or 3603357 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1005327117 is about 31706.8938402991. The cubic root of 1005327117 is about 1001.7725618348.

The spelling of 1005327117 in words is "one billion, five million, three hundred twenty-seven thousand, one hundred seventeen".