345321 has 24 divisors (see below), whose sum is σ = 551304. Its totient is φ = 207360.

The previous prime is 345311. The next prime is 345329. The reversal of 345321 is 123543.

345321 = T₁₉₃ + T₁₉₄ + ... + T₂₀₉.

345321 is a `hidden beast` number, since 345 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 275625 = 264^2 + 525^2 .

It is not a de Polignac number, because 345321 - 2⁷ = 345193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345294 and 345303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345321.

It is not an unprimeable number, because it can be changed into a prime (345329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5631 + ... + 5691.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2³⁴⁵³²¹ is an apocalyptic number.

It is an amenable number.

345321 is a deficient number, since it is larger than the sum of its proper divisors (205983).

345321 is a wasteful number, since it uses less digits than its factorization.

345321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 345321 is about 587.6401960384. The cubic root of 345321 is about 70.1575363519.

Adding to 345321 its reverse (123543), we get a palindrome (468864).

It can be divided in two parts, 345 and 321, that added together give a palindrome (666).

The spelling of 345321 in words is "three hundred forty-five thousand, three hundred twenty-one".