321354 has 32 divisors (see below), whose sum is σ = 780480. Its totient is φ = 97200.

The previous prime is 321341. The next prime is 321359. The reversal of 321354 is 453123.

321354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3³ + 2⁷ + 3¹⁰ + 1 + 5 + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (321359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (24390).

2³²¹³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390240).

321354 is an abundant number, since it is smaller than the sum of its proper divisors (459126).

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

321354 is a wasteful number, since it uses less digits than its factorization.

321354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

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

The square root of 321354 is about 566.8809398807. The cubic root of 321354 is about 68.4953732645.

Adding to 321354 its reverse (453123), we get a palindrome (774477).

Subtracting 321354 from its reverse (453123), we obtain a square (131769 = 363²).

The spelling of 321354 in words is "three hundred twenty-one thousand, three hundred fifty-four".