345717 has 12 divisors (see below), whose sum is σ = 505440. Its totient is φ = 227688.

The previous prime is 345707. The next prime is 345727. The reversal of 345717 is 717543.

It is an interprime number because it is at equal distance from previous prime (345707) and next prime (345727).

It is not a de Polignac number, because 345717 - 2⁴ = 345701 is a prime.

It is an Ulam number.

345717 is a lucky number.

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 345717.

It is not an unprimeable number, because it can be changed into a prime (345707) 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, 784 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2³⁴⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

345717 is a deficient number, since it is larger than the sum of its proper divisors (159723).

345717 is a wasteful number, since it uses less digits than its factorization.

345717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 345717 is about 587.9770403681. The cubic root of 345717 is about 70.1843440383.

Adding to 345717 its sum of digits (27), we get a square (345744 = 588²).

The spelling of 345717 in words is "three hundred forty-five thousand, seven hundred seventeen".