705117 has 8 divisors (see below), whose sum is σ = 1074496. Its totient is φ = 402912.

The previous prime is 705113. The next prime is 705119. The reversal of 705117 is 711507.

705117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 705117 - 2² = 705113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 33577 = 705117 / (7 + 0 + 5 + 1 + 1 + 7).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 705093 and 705102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705117.

It is not an unprimeable number, because it can be changed into a prime (705113) 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, 16768 + ... + 16809.

It is an arithmetic number, because the mean of its divisors is an integer number (134312).

2⁷⁰⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

705117 is a deficient number, since it is larger than the sum of its proper divisors (369379).

705117 is a wasteful number, since it uses less digits than its factorization.

705117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33587.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 705117 is about 839.7124507830. The cubic root of 705117 is about 89.0062277341.

The spelling of 705117 in words is "seven hundred five thousand, one hundred seventeen".