354321 has 16 divisors (see below), whose sum is σ = 573120. Its totient is φ = 214560.

The previous prime is 354317. The next prime is 354323. The reversal of 354321 is 123453.

It is not a de Polignac number, because 354321 - 2² = 354317 is a prime.

354321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 354294 and 354303.

It is not an unprimeable number, because it can be changed into a prime (354323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (35820).

2³⁵⁴³²¹ is an apocalyptic number.

It is an amenable number.

354321 is a deficient number, since it is larger than the sum of its proper divisors (218799).

354321 is a wasteful number, since it uses less digits than its factorization.

354321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

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

The square root of 354321 is about 595.2486875248. The cubic root of 354321 is about 70.7618150886.

Adding to 354321 its reverse (123453), we get a palindrome (477774).

It can be divided in two parts, 35 and 4321, that added together give a square (4356 = 66²).

The spelling of 354321 in words is "three hundred fifty-four thousand, three hundred twenty-one".