321345 has 24 divisors (see below), whose sum is σ = 575016. Its totient is φ = 165888.

The previous prime is 321341. The next prime is 321359. The reversal of 321345 is 543123.

321345 is a `hidden beast` number, since 321 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 269361 = 228^2 + 519^2 .

It is not a de Polignac number, because 321345 - 2² = 321341 is a prime.

321345 is a lucky number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321345.

It is not an unprimeable number, because it can be changed into a prime (321341) 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, 1569 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (23959).

2³²¹³⁴⁵ is an apocalyptic number.

It is an amenable number.

321345 is a deficient number, since it is larger than the sum of its proper divisors (253671).

321345 is a wasteful number, since it uses less digits than its factorization.

321345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

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

The square root of 321345 is about 566.8730016503. The cubic root of 321345 is about 68.4947338200.

Adding to 321345 its reverse (543123), we get a palindrome (864468).

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

The spelling of 321345 in words is "three hundred twenty-one thousand, three hundred forty-five".