345117 has 16 divisors (see below), whose sum is σ = 499392. Its totient is φ = 211200.

The previous prime is 345109. The next prime is 345133. The reversal of 345117 is 711543.

It is not a de Polignac number, because 345117 - 2³ = 345109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345093 and 345102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3367 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (31212).

2³⁴⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

345117 is a deficient number, since it is larger than the sum of its proper divisors (154275).

345117 is a wasteful number, since it uses less digits than its factorization.

345117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 420, while the sum is 21.

The square root of 345117 is about 587.4665947950. The cubic root of 345117 is about 70.1437183327.

It can be divided in two parts, 34 and 5117, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 345117 in words is "three hundred forty-five thousand, one hundred seventeen".