1117216305 has 24 divisors (see below), whose sum is σ = 1938179880. Its totient is φ = 595334400.

The previous prime is 1117216301. The next prime is 1117216307. The reversal of 1117216305 is 5036127111.

1117216305 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 21 + 630 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 1037935089 = 8904^2 + 32217^2 .

It is not a de Polignac number, because 1117216305 - 2² = 1117216301 is a prime.

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 not an unprimeable number, because it can be changed into a prime (1117216301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45205 + ... + 65405.

It is an arithmetic number, because the mean of its divisors is an integer number (80757495).

Almost surely, 2^1117216305 is an apocalyptic number.

1117216305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1117216305 is a deficient number, since it is larger than the sum of its proper divisors (820963575).

1117216305 is a wasteful number, since it uses less digits than its factorization.

1117216305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21438 counting only the distinct ones).

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

The square root of 1117216305 is about 33424.7857883936. The cubic root of 1117216305 is about 1037.6377303967.

The spelling of 1117216305 in words is "one billion, one hundred seventeen million, two hundred sixteen thousand, three hundred five".