1205117917 has 8 divisors (see below), whose sum is σ = 1208836800. Its totient is φ = 1201405920.

The previous prime is 1205117911. The next prime is 1205117941. The reversal of 1205117917 is 7197115021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1205117917 - 2⁷ = 1205117789 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 (1205117911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790518 + ... + 792040.

It is an arithmetic number, because the mean of its divisors is an integer number (151104600).

Almost surely, 2^1205117917 is an apocalyptic number.

It is an amenable number.

1205117917 is a deficient number, since it is larger than the sum of its proper divisors (3718883).

1205117917 is a wasteful number, since it uses less digits than its factorization.

1205117917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443.

The product of its (nonzero) digits is 4410, while the sum is 34.

The square root of 1205117917 is about 34714.8083244024. The cubic root of 1205117917 is about 1064.1671483147.

The spelling of 1205117917 in words is "one billion, two hundred five million, one hundred seventeen thousand, nine hundred seventeen".