345765 has 32 divisors (see below), whose sum is σ = 656640. Its totient is φ = 152064.

The previous prime is 345757. The next prime is 345769. The reversal of 345765 is 567543.

345765 = 130² + 131² + ... + 147².

It is not a de Polignac number, because 345765 - 2³ = 345757 is a prime.

It is a Curzon number.

It is a zygodrome in base 6.

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 345765.

It is not an unprimeable number, because it can be changed into a prime (345769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2³⁴⁵⁷⁶⁵ is an apocalyptic number.

345765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345765 is a deficient number, since it is larger than the sum of its proper divisors (310875).

345765 is a wasteful number, since it uses less digits than its factorization.

345765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 12600, while the sum is 30.

The square root of 345765 is about 588.0178568717. The cubic root of 345765 is about 70.1875920636.

The spelling of 345765 in words is "three hundred forty-five thousand, seven hundred sixty-five".