345820 has 12 divisors (see below), whose sum is σ = 726264. Its totient is φ = 138320.

The previous prime is 345817. The next prime is 345823. The reversal of 345820 is 28543.

It is an interprime number because it is at equal distance from previous prime (345817) and next prime (345823).

It is a junction number, because it is equal to n+sod(n) for n = 345791 and 345800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8626 + ... + 8665.

It is an arithmetic number, because the mean of its divisors is an integer number (60522).

2³⁴⁵⁸²⁰ is an apocalyptic number.

It is an amenable number.

345820 is an abundant number, since it is smaller than the sum of its proper divisors (380444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345820 is a wasteful number, since it uses less digits than its factorization.

345820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17300 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345820 is about 588.0646222993. The cubic root of 345820 is about 70.1913133896.

The spelling of 345820 in words is "three hundred forty-five thousand, eight hundred twenty".